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{{Unreferenced|date=December 2009}}
Sony KDL-55HX853 TV<br>sony.co.uk, �1,79<br>
{{Context|date=October 2009}}
Looks stunning even when it's switched off<br>
Turn it on its 55in screen and Sony's image processing technology works wonders<br>
Ruark Audio R1 MkII radi<br>
ruarkaudio.com, �179.<br>
Highly portable, has great sound and spectacular looks. It's available in a range of colours and finishe<br>
B&W P3 headphon<br>
bowers-wilkins.co.uk, �<br>0
Comfy pads that adjust to the shape of your ears thanks to memory foam. They also have neat design and splendid aud<br><br>


The concept of '''supergroup''' is a [[generalization]] of that of [[group (mathematics)|group]]. In other words, every supergroup carries a natural group structure, and vice versa, but there may be more than one way to structure a given group as a supergroup. A supergroup is like a Lie group in that there is a well defined notion of [[smooth function]] defined on them.
Sky+ HD 1TB <br>x
However the functions may have even and odd parts. Moreover a supergroup has a [[super Lie algebra]] which plays a role similar to that of a [[Lie algebra]] for Lie groups in that they determine most of the representation theory and which is the starting point for classification.
sky.com, �149 plus subscrip<br>on
The widest range of high-definition channels available, plus hundreds of HD movies and TV shows. A breeze to <br>e.
Appl<br>TV
apple.com<br>�99
Tiny enough to fit in your hand, this is a superb video streaming box. Connect it (wirelessly) to your broadband network. Simple, effec<br>ve.
Samsung UE55<br>800
comet.co.uk, <br>,499
Marvel at this Smart TV's thin profile and chic chrome bezel, admire its great styling, and then be wowed by its amazing 55in picture. It stands out in a crowded field of pro<br><br>s.


More formally, a '''Lie supergroup''' is a [[supermanifold]] G together with a multiplication morphism <math>\mu :G \times G\rightarrow G</math>, an inversion morphism <math>i : G \rightarrow G</math> and a unit morphism <math>e:  1 \rightarrow G</math> which makes G a [[group object]] in the [[category theory|category]] of supermanifolds. This means that, formulated as commutative diagrams, the usual associativity and inversion axioms of a group continue to hold. Since every manifold is a super manifold, a Lie supergroup generalises the notion of a [[Lie group]].  
Panasonic TX-P<br>VT50
johnlewis.com,<br>3,799
If you have the room for a 65in screen, this one is extraordinary. Nobody makes plasma as well as Panasonic and the images here are rich, crisp and amazingly detailed. St<br>ning.
Philips 50P<br>7956T
richersounds.com, �<br>599.95
Not all widescreens are equal. This 50-incher has a 21:9 aspect ratio, like a movie. So this TV is ideal for watching films with no black bars i<br><br>ght.


There are many possible supergroups. The ones of most interest in theoretical physics are the ones which extend the [[Poincaré group]] or the [[conformal group]]. Of particular interest are the  '''orthosymplectic groups''' ''Osp(N/M)'' and the '''superconformal groups''' ''SU(N/M)''.  
Toshiba 55ZL2 glasses<br>ree 3D
currys.co.u<br> �6,999
The main problem with watching 3D on the telly is those darned glasses. With this you don't need them - not perfect, but pre<br>y cool.
LG<br>5LM960V
currys.co.<br>, �2,499
LG favours passive 3D tech (with glasses such as you'd wear in the cinema) and includes seven pairs, so you can have all your friends round. An alluring TV <br><br>D too.


An equivalent algebraic approach starts from the observation that a super manifold is determined by its ring of [[supercommutative]] smooth functions, and that a morphism of super manifolds corresponds one to one with an algebra homomorphism between their functions in the opposite direction, i.e. that the category of supermanifolds is opposite to the category of algebras of smooth graded commutative functions. Reversing all the arrows in the commutative diagrams that define a Lie supergroup then shows that functions over the supergroup have the structure of a '''Z'''<sub>2</sub>-graded [[Hopf algebra]]. Likewise the representations of this Hopf algebra turn out to be '''Z'''<sub>2</sub>-graded [[comodule]]s. This Hopf algebra gives the global properties of the supergroup.
Sony K<br>-32HX753
richersounds.c<br>, �599.95
If you fancy a smaller TV, this 32in model has a great picture quality and is equally good in 3D mode. It connects to the internet so you can stream HD movies from the Sony Entertainme<br> Network.
Samsun<br>PS51E8000
currys.c<br>uk, �1,699
Another plasma screen with a great picture. The 51in screen excels at 3D and is no slouch in the 2D stakes. The Samsung smart TV options are very strong, including Netflix. Sound<br><br>od, too.


There is another related Hopf algebra which is the dual of the previous Hopf algebra. It can be identified with the Hopf algebra of graded differential operators at the origin. It only gives the local properties of the symmetries i.e., it only gives information about infinitesimal supersymmetry transformations. The representations of this Hopf algebra are [[Module (mathematics)|module]]s. Like in the non graded case, this Hopf algebra can be described purely algebraically as the [[universal enveloping algebra]] of the [[Lie superalgebra]].
Toshiba 22DL70<br>TV and DVD
te<br>o.com, �168
Ideal for a tight space, the 22in Toshiba has a DVD player built in and full HD resolution. Perfect if the switch to digital left you with a useless TV and no room for a<br>et-top box.<br>LG 42LM660T
richersound<br>com, �849.95
This good value 42in model is big enough for most living rooms. It comes with five pairs of 3[http://search.Un.org/search?ie=utf8&site=un_org&output=xml_no_dtd&client=UN_Website_en&num=10&lr=lang_en&proxystylesheet=UN_Website_en&oe=utf8&q=D+glasses&Submit=Go D glasses] and is designed to look like a cinema screen - if a little bit smaller tha<br><br>e Odeon's.


In a similar way one can define an affine algebraic supergroup as a group object in the category of super algebraic affine varieties. An affine algebraic supergroup has a similar one to one relation
Fi<br>ux 46S6030-T
to its Hopf algebra of super Polynomials. Using the language of schemes, which combines the geometric and algebraic point of view, algebraic supergroup schemes can be defined including super Abelian varieties.
finluxdire<br>.com, �559.99
Any way you look at it, this 46in TV is a bargain. The picture isn't bad, the sound is solid, the contrast levels largely impressive and the inclusion of a Freeview HD tu<br>r is a bonu<br>
Virgin TiVo
virginmedia.com, free wi<br> subscription
If you're in a cabled area, this is a remarkable recorder. It lets you record three programmes at once. It learns what you like and has a great <br><br>ch feature.


{{DEFAULTSORT:Supergroup (Physics)}}
Sony BDP-S790<br>lu-ray player
[[Category:Supersymmetry]]
pcworl<br>co.uk, �229.99
[[Category:Hopf algebras]]
This 3D-capable player can upscale content to work on super-high resolution displays. You can even control it wi<br> a smartphone.
[[Category:Super linear algebra]]
<br>max HDR-FOX T2
humaxd<br>ect.co.uk, �179
With HD channels on Freeview you can get the highest quality picture even without satellite or cable. This is a highly competent recorder and it's come do<br><br>n price<br>too.
 
Roku LT
<br>esco.com, �49.97
This small TV-streaming gadget has scores of channels, some free like BBC iPlayer, some subscription like Netflix, and it's especially<br>uited to gamers.
<br>ny PlayStation 3
a<br>os.co.uk, �189.99
Easily downloadable updates make this gaming machine an excellent Blu-ray player too, taking 3D in its stride. Overall, this is a tremendous home<br><br>ertainment hub.
 
Revo Heritag<br>G2 internet radio
sh<br>.monocle.com, �300
This beautiful and capable radio offers splendid sound and choice. There's FM, DAB, an iPod dock and access to thousands o<br>internet stati<br>s.
Pure Evoke M<br>
pure.com, �129.99
Pure spearheaded DAB radio in the UK and is still a leader. This features strong (mono) sound and has features like a kitchen timer, alarm and<br><br>optional battery.
 
Roberts <br>ortsDAB2 Union Jack
r<br>ertsradio.co.uk, �80
Listen to the Olympics on the move with this cute DAB portable. Highlights include a rechargeable battery and a<br>owerful loudspea<br>r.
Pure Avanti Fl<br>
johnlewis.com, �279
Along with FM and DAB, this radio has internet radio capabilities, too. It's big and powerful, with loud, clear sound including strong bass from <br><br>built-in subwoofe<br>
 
Tivoli Audio Pal+
<br>ivoliaudio.co.uk, �249
Tivoli makes fine radios with timeless looks and tremendous sound quality. This latest version of their highly popular Audio Pal comes in sui<br>bly patriotic styl<br>g.
Philips Fidelio L<br>
johnlewis.com, �229.95
The over-the-ears Fidelio L1 headphones are reassuringly luxurious, comfortable even for lengthy listening sessions and have a subtle but persuasive sound. There's plenty of ba<br><br>and bearable leakage.
 
Atomic Floyd Super<br>rts + Remote headpho<br>s
apple.com/uk, �199.95
Improve the sound from your iPod or smartphone spectacularly with this cute upgrade. The snug fit keeps the music in and the sound matches stron<br>bass with great <br>arity.
Sennheiser HD70<br>
custom-cable.co.uk, �599
Cheap they're not, but these exceptionally well-built over-ear headphones are surprisingly light. They have a powerful but detailed, warm sound. They are comfy eno<br><br>for extended listening.
 
Mon<br>er Beats by Dr Dre St<br>io
beatsbydrdre.com, �279
Chunky, powerful and fun, they are loud and rich in bass. They have powered noise cancellation to quieten the outside world. Not heavy, even wi<br> the obligat<br>y batteries.
Denon AH-36<br>
homeavdirect.co.uk, �29.99
This has an ergonomic design that fits the ear securely for better sound and less vibration. The materials are comfortable and different sized ear p<br><br>s add to the <br>rsatility.
 
<br>nos Play: 5
sonos.com, �349
It's small but very powerful, beating the sound of some full-sized hi-fis. Connect it to your broadband via the small bridge attachment and <br>ay music from your computer.<br>Onkyo CS-245 DAB mini<br>ystem
johnlewis.com, �279.99
This handles CDs, home recorded CDs with MP3 tracks, DAB and has an iPod dock and a USB socket. It sounds grea<br><br>d includes dec<br>t speakers.
 
Deno<br>D-M38DAB
comet.co.uk, �329.99
Stormingly good and great value. Its sound is bright and colourful. You can buy it without speakers if you have better ones already, th<br>gh the system ones aren't bad.
R<br>rk R4i integrated mus<br> system
johnlewis.com, �549.95
This has a lot packed into its sleek body: the radio has FM, DAB and DAB+ tuners (DAB+ isn't used in the <br><br>et), CD player and iPod dock.
 
Harman Kar<br>n BDS-570 Home theatre rece<br>er
uk.harmankardon.com, �749.99
Smaller than most home systems, this plays CDs, DVDs and Blu-ray discs<br>You need speakers <br> go with it.
Jawbone <br>g Jambox
eu.jawbone.com, �259.99
Its smaller sibling is more portable, but the Big Jambox is louder and just as cute. It's a Bluetooth speaker so it can be paired with comp<br><br>le smartph<br>es and MP3 player<br>
 
Apple iPad
apple.com/uk, �399
Whether you use it to check emails while you watch TV or as a perfect catch-up telly in bed, the iPad's versatility is not in doubt. <br>vie playback <br> particularly <br>od.
Sony Tablet S
tesco.com, �299
The Tablet S is comfortable in the hand, works as a wireless TV remote, and you can throw the content from the screen to [http://Www.Wired.com/search?query=compatible+TVs compatible TVs]. It's<br><br>o the most stylish <br>blet around.
 
<br>auppauge MyTV2Go-M
play.com, �79.99
If listening to the radio isn't enough, this portable Freeview TV tuner plugs into your iPad or iPhone so you can watch stuff too. You can<br>ven record shows and play t<br>m back.
Sony B<br>-SX1 Blu-ray player
sony.co.uk, �299
If you want to watch movies on the go, this is a real treat. A great screen, compatibility with Blu-ra<br><br>d a chic design with <br>ivel screen.
 
<br>re Contour 200i Air
pure.com, �199.99
This new high-end dock includes AirPlay, the wireless streaming standard for Apple iDevices. The audio is good but what really stands out is the ease o<br>set-up, even for adding extra gadg<br>s.
Philips Fidelio <br>851 Android dock
currys.co.uk, �179.99
This dock has an adjustable connector and transfers the music through Bluetooth. So it'll work with a bunch of Android <br><br>tphones and<br>ake them all sound good.<br>
Arcam rCube
richersounds.com, �349.95
As iPod docks go, this is a real winner: loud, bassy and highly appealing. It's reasonably light and the battery is big enough to keep going for hours. It can even<br>ork as a stream<br>g wireless l<br>dspeaker.
Samsung DA-E750
hmv.com, �599
This system docks Samsung Galaxy S phones and Apple gadgets, and includes wireless software so you don't have to connect them. The vacuum tube amplif<br><br>technology deliv<br>s a warm, rich <br>und.
 
Sony RDP XA900iP
sony.co.uk, �499
A very impressive dock that is designed to take an iPad without looking overbalanced. The inclusion of Bluetooth means it'll work with non-Apple pl<br>ers too. <br>und quality is<br>lear and sharp.
Sonos Sub
sonos.com, �599
This is one hefty sub-woofer. Its design is ingenious with speakers facing each other so that they deliver deep, forceful sound wi<br><br>o rattling of the <br>binet. Even up close.
<br>La Boite LD series
laboiteconcept.com, �870
Is it a dock? Is it a table? Quirky, beautifully crafted and finished in leather, the LD series of music systems are designed to<br>ork with laptops. LD stand<br>for laptop dock.
<br>effo Spiderpodium Tablet
jessops.com, �14.95
This contorts to grip, and then hold in place, at any angle or position, almost any device. Small<br><br> lightweight, but with tremen<br>us strength.
 
Cambridg<br>Audio DacMagic Plus
richersounds.com, �349.95
It may not look much, but the DacMagic turns the often iffy sound of MP3s into high-end audio. DAC stands  [http://www.whattodonext.co.nz/images/beats-headphones.asp <br>ats dr dre] for digital-to<br>nalogue conver<br>r.
Sky Jubilee remote control
sky.com, �24.99
I mean, there's no certainty that it'll improve your viewing, but this limited edition Union Jack-decorated Sky remote control is fun and works well.

Revision as of 12:14, 4 February 2014

Sony KDL-55HX853 TV
sony.co.uk, �1,79
Looks stunning even when it's switched off
Turn it on its 55in screen and Sony's image processing technology works wonders
Ruark Audio R1 MkII radi
ruarkaudio.com, �179.
Highly portable, has great sound and spectacular looks. It's available in a range of colours and finishe
B&W P3 headphon
bowers-wilkins.co.uk, �
0 Comfy pads that adjust to the shape of your ears thanks to memory foam. They also have neat design and splendid aud

Sky+ HD 1TB
x sky.com, �149 plus subscrip
on The widest range of high-definition channels available, plus hundreds of HD movies and TV shows. A breeze to
e. Appl
TV apple.com
�99 Tiny enough to fit in your hand, this is a superb video streaming box. Connect it (wirelessly) to your broadband network. Simple, effec
ve. Samsung UE55
800 comet.co.uk,
,499 Marvel at this Smart TV's thin profile and chic chrome bezel, admire its great styling, and then be wowed by its amazing 55in picture. It stands out in a crowded field of pro

s.

Panasonic TX-P
VT50 johnlewis.com,
3,799 If you have the room for a 65in screen, this one is extraordinary. Nobody makes plasma as well as Panasonic and the images here are rich, crisp and amazingly detailed. St
ning. Philips 50P
7956T richersounds.com, �
599.95 Not all widescreens are equal. This 50-incher has a 21:9 aspect ratio, like a movie. So this TV is ideal for watching films with no black bars i

ght.

Toshiba 55ZL2 glasses
ree 3D currys.co.u
�6,999 The main problem with watching 3D on the telly is those darned glasses. With this you don't need them - not perfect, but pre
y cool. LG
5LM960V currys.co.
, �2,499 LG favours passive 3D tech (with glasses such as you'd wear in the cinema) and includes seven pairs, so you can have all your friends round. An alluring TV

D too.

Sony K
-32HX753 richersounds.c
, �599.95 If you fancy a smaller TV, this 32in model has a great picture quality and is equally good in 3D mode. It connects to the internet so you can stream HD movies from the Sony Entertainme
Network. Samsun
PS51E8000 currys.c
uk, �1,699 Another plasma screen with a great picture. The 51in screen excels at 3D and is no slouch in the 2D stakes. The Samsung smart TV options are very strong, including Netflix. Sound

od, too.

Toshiba 22DL70
TV and DVD te
o.com, �168 Ideal for a tight space, the 22in Toshiba has a DVD player built in and full HD resolution. Perfect if the switch to digital left you with a useless TV and no room for a
et-top box.
LG 42LM660T richersound
com, �849.95 This good value 42in model is big enough for most living rooms. It comes with five pairs of 3D glasses and is designed to look like a cinema screen - if a little bit smaller tha

e Odeon's.

Fi
ux 46S6030-T finluxdire
.com, �559.99 Any way you look at it, this 46in TV is a bargain. The picture isn't bad, the sound is solid, the contrast levels largely impressive and the inclusion of a Freeview HD tu
r is a bonu
Virgin TiVo virginmedia.com, free wi
subscription If you're in a cabled area, this is a remarkable recorder. It lets you record three programmes at once. It learns what you like and has a great

ch feature.

Sony BDP-S790
lu-ray player pcworl
co.uk, �229.99 This 3D-capable player can upscale content to work on super-high resolution displays. You can even control it wi
a smartphone.
max HDR-FOX T2 humaxd
ect.co.uk, �179 With HD channels on Freeview you can get the highest quality picture even without satellite or cable. This is a highly competent recorder and it's come do

n price
too.

Roku LT
esco.com, �49.97 This small TV-streaming gadget has scores of channels, some free like BBC iPlayer, some subscription like Netflix, and it's especially
uited to gamers.
ny PlayStation 3 a
os.co.uk, �189.99 Easily downloadable updates make this gaming machine an excellent Blu-ray player too, taking 3D in its stride. Overall, this is a tremendous home

ertainment hub.

Revo Heritag
G2 internet radio sh
.monocle.com, �300 This beautiful and capable radio offers splendid sound and choice. There's FM, DAB, an iPod dock and access to thousands o
internet stati
s. Pure Evoke M
pure.com, �129.99 Pure spearheaded DAB radio in the UK and is still a leader. This features strong (mono) sound and has features like a kitchen timer, alarm and

optional battery.

Roberts
ortsDAB2 Union Jack r
ertsradio.co.uk, �80 Listen to the Olympics on the move with this cute DAB portable. Highlights include a rechargeable battery and a
owerful loudspea
r. Pure Avanti Fl
johnlewis.com, �279 Along with FM and DAB, this radio has internet radio capabilities, too. It's big and powerful, with loud, clear sound including strong bass from

built-in subwoofe

Tivoli Audio Pal+
ivoliaudio.co.uk, �249 Tivoli makes fine radios with timeless looks and tremendous sound quality. This latest version of their highly popular Audio Pal comes in sui
bly patriotic styl
g. Philips Fidelio L
johnlewis.com, �229.95 The over-the-ears Fidelio L1 headphones are reassuringly luxurious, comfortable even for lengthy listening sessions and have a subtle but persuasive sound. There's plenty of ba

and bearable leakage.

Atomic Floyd Super
rts + Remote headpho
s apple.com/uk, �199.95 Improve the sound from your iPod or smartphone spectacularly with this cute upgrade. The snug fit keeps the music in and the sound matches stron
bass with great
arity. Sennheiser HD70
custom-cable.co.uk, �599 Cheap they're not, but these exceptionally well-built over-ear headphones are surprisingly light. They have a powerful but detailed, warm sound. They are comfy eno

for extended listening.

Mon
er Beats by Dr Dre St
io beatsbydrdre.com, �279 Chunky, powerful and fun, they are loud and rich in bass. They have powered noise cancellation to quieten the outside world. Not heavy, even wi
the obligat
y batteries. Denon AH-36
homeavdirect.co.uk, �29.99 This has an ergonomic design that fits the ear securely for better sound and less vibration. The materials are comfortable and different sized ear p

s add to the
rsatility.


nos Play: 5 sonos.com, �349 It's small but very powerful, beating the sound of some full-sized hi-fis. Connect it to your broadband via the small bridge attachment and
ay music from your computer.
Onkyo CS-245 DAB mini
ystem johnlewis.com, �279.99 This handles CDs, home recorded CDs with MP3 tracks, DAB and has an iPod dock and a USB socket. It sounds grea

d includes dec
t speakers.

Deno
D-M38DAB comet.co.uk, �329.99 Stormingly good and great value. Its sound is bright and colourful. You can buy it without speakers if you have better ones already, th
gh the system ones aren't bad. R
rk R4i integrated mus
system johnlewis.com, �549.95 This has a lot packed into its sleek body: the radio has FM, DAB and DAB+ tuners (DAB+ isn't used in the

et), CD player and iPod dock.

Harman Kar
n BDS-570 Home theatre rece
er uk.harmankardon.com, �749.99 Smaller than most home systems, this plays CDs, DVDs and Blu-ray discs
You need speakers
go with it. Jawbone
g Jambox eu.jawbone.com, �259.99 Its smaller sibling is more portable, but the Big Jambox is louder and just as cute. It's a Bluetooth speaker so it can be paired with comp

le smartph
es and MP3 player

Apple iPad apple.com/uk, �399 Whether you use it to check emails while you watch TV or as a perfect catch-up telly in bed, the iPad's versatility is not in doubt.
vie playback
particularly
od. Sony Tablet S tesco.com, �299 The Tablet S is comfortable in the hand, works as a wireless TV remote, and you can throw the content from the screen to compatible TVs. It's

o the most stylish
blet around.


auppauge MyTV2Go-M play.com, �79.99 If listening to the radio isn't enough, this portable Freeview TV tuner plugs into your iPad or iPhone so you can watch stuff too. You can
ven record shows and play t
m back. Sony B
-SX1 Blu-ray player sony.co.uk, �299 If you want to watch movies on the go, this is a real treat. A great screen, compatibility with Blu-ra

d a chic design with
ivel screen.


re Contour 200i Air pure.com, �199.99 This new high-end dock includes AirPlay, the wireless streaming standard for Apple iDevices. The audio is good but what really stands out is the ease o
set-up, even for adding extra gadg
s. Philips Fidelio
851 Android dock currys.co.uk, �179.99 This dock has an adjustable connector and transfers the music through Bluetooth. So it'll work with a bunch of Android

tphones and
ake them all sound good.
Arcam rCube richersounds.com, �349.95 As iPod docks go, this is a real winner: loud, bassy and highly appealing. It's reasonably light and the battery is big enough to keep going for hours. It can even
ork as a stream
g wireless l
dspeaker. Samsung DA-E750 hmv.com, �599 This system docks Samsung Galaxy S phones and Apple gadgets, and includes wireless software so you don't have to connect them. The vacuum tube amplif

technology deliv
s a warm, rich
und.

Sony RDP XA900iP sony.co.uk, �499 A very impressive dock that is designed to take an iPad without looking overbalanced. The inclusion of Bluetooth means it'll work with non-Apple pl
ers too.
und quality is
lear and sharp. Sonos Sub sonos.com, �599 This is one hefty sub-woofer. Its design is ingenious with speakers facing each other so that they deliver deep, forceful sound wi

o rattling of the
binet. Even up close.
La Boite LD series laboiteconcept.com, �870 Is it a dock? Is it a table? Quirky, beautifully crafted and finished in leather, the LD series of music systems are designed to
ork with laptops. LD stand
for laptop dock.
effo Spiderpodium Tablet jessops.com, �14.95 This contorts to grip, and then hold in place, at any angle or position, almost any device. Small

lightweight, but with tremen
us strength.

Cambridg
Audio DacMagic Plus richersounds.com, �349.95 It may not look much, but the DacMagic turns the often iffy sound of MP3s into high-end audio. DAC stands
ats dr dre
for digital-to
nalogue conver
r. Sky Jubilee remote control sky.com, �24.99 I mean, there's no certainty that it'll improve your viewing, but this limited edition Union Jack-decorated Sky remote control is fun and works well.