Light On and Cartan's theorem: Difference between pages

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{{unreferenced|2008}}
{{Infobox Single <!-- See Wikipedia:WikiProject_Songs -->
| Name = Light On
| Cover = Light_On_-_Single.jpg
| Artist = [[David Cook (singer)|David Cook]]
| from Album = TBA
| B-side =
| Released = [[September 30]], [[2008]] ([[United States|U.S.]]) <small>([[iTunes]])</small> <br>[[October 13]], [[2008]] ([[United States|U.S.]]) <small>([[radio]])</small>
| Format = [[Digital download]], [[CD single]]
| Recorded = 2008
| Genre = [[Power ballad]], [[Pop rock|Pop/Rock]]
| Length = 3:46
| Label = [[RCA Records|RCA]]/[[19 Recordings|19 Records]]
| Writer = [[Chris Cornell]], [[Brian Howes]]
| Producer = [[Rob Cavallo]]
| Certification =
| Last single = "[[The Time of My Life (David Cook song)|The Time of My Life]]"<br>(2008)
| This single = "'''Light On'''"<br>(2008)
| Next single = "TBA"<br>(2008)
}}


In [[mathematics]], there are two basic results in [[Lie group]] theory that go by the name '''Cartan's theorem'''. They are both named for [[Élie Cartan]].
"'''Light On'''" is the first official single to be released from ''[[American Idol]]'' [[American Idol (season 7)|season 7]] winner [[David Cook (singer)|David Cook]]'s major label debut studio album. <ref>{{cite website|url=http://www.davidcookofficial.com/blog/first-single-title-announced-light-on|title=First Single Title Announced - "Light On"|publisher=davidcookofficial.com|date=2008-09-19}}</ref>


:1. The theorem that for a Lie group ''G'', any [[closed set|closed]] [[subgroup]] is a [[Lie subgroup]].
==Song information==
"Light On" was co-written by [[Soundgarden]] and [[Audioslave]] front man [[Chris Cornell]], as well as famed producer/songwriter [[Brian Howes]]. The song was produced by [[Grammy]] winning producer [[Rob Cavallo]], who has produced hits for [[Green Day]] and [[Kid Rock]]. <ref>{{cite website|url=http://www.davidcookofficial.com/news/%E2%80%9Clight-on%E2%80%9D-is-released-to-radio-this-week-and-will-premiere-exclusively-on-aol-music-on-wednesd|title="Light On" is Released to Radio This Week and Will Premiere Exclusively on AOL Music on Wednesday|publisher=davidcookoficial.com|date=2008-09-23}}</ref>


:2. A theorem on [[highest weight vector]]s in the [[representation theory]] of a [[semisimple]] Lie group.
==Release==
The song's lyrics were posted on Cook's official website on [[September 22]], [[2008]]. "Light On" officially debuted on [[AOL Music]]'s PopEater section on [[September 23]], [[2008]]. It became available for radio airplay later on the 23rd, but will officially go for adds on Mainstream Top 40, AC, and Rock radio on [[October 13]], [[2008]]. It was released [[iTunes Store|iTunes]] and [[amazon.com|Amazon]] on [[September 30]], [[2008]]. <ref>{{cite
website|url=http://www.popeater.com/music/article/exclusive-david-cook-turns-the-light-on/185647|title=Exclusive: David Cook Turns the 'Light On' His Debut Single|publisher=PopEater|date=2008-09-23}}</ref>


See also [[Cartan's theorems A and B]], results of [[Henri Cartan]].
==Reception==
Reception of "Light On" has been mixed. Todd Martens of the ''[[Los Angeles Times]]'' gave a decent review, predicting chart success by saying the song was "sure to be inescapable this holiday season." He called it "full-on, cellphone-waving arena rock schmaltz, with husky, slow-moving guitars and a wallop of meaninglessly earnest vocals." <ref>{{cite website|url=http://latimesblogs.latimes.com/extendedplay/2008/09/david-cooks-rev.html|title=David Cook's review-proof 'Light On' hits Web in time|publisher=[[The Los Angeles Times]]|date=2008-09-23}}</ref>


[[Category:Lie groups]]
Michael Slezak of ''[[Entertainment Weekly]]'' also gave a mostly good review, saying Cook "is poised to be part of a balanced, mainstream rock diet alongside artists like [[3 Doors Down]], [[Nickelback]], and [[Staind]]." He also called the song catchy saying, "After two listens, the "Light On" chorus got caught in my head like butter in the crannies of an English muffin." Though unimpressed with the song's lyrics, claiming they "feel more like a logjam of carefully focus-grouped words than anything deeply meaningful", he concluded however that "the bottom line is: "Light On" is probably going to be a major hit." <ref>{{cite website|url=http://popwatch.ew.com/popwatch/2008/09/david-cook-ligh.html|title=David Cook's 'Light On': Resistance is futile!|publisher=[[Entertainment Weekly]]|date=2008-09-25}}</ref>
[[Category:Mathematical theorems]]


[[es:Teorema de Cartan]]
[[Ken Barnes]] of ''[[USA Today]]'' however was unimpressed with the single, despite being a fervent supporter of Cook on ''American Idol''. Barnes called the song "[[Daughtry (band)|Daughtry]] lite" as well as "a paint-by-numbers rock-ballad tune." <ref>{{cite website|url=http://blogs.usatoday.com/idolchatter/2008/09/david-cooks-new.html#uslPageReturn|title=David Cook's new single: Rock 'Light'?|publisher=[[USA Today]]|date=2008-09-23}}</ref> ''[[Los Angeles Times]]'' writer Ann Powers also appeared unimpressed with the single, referring to it as a "banger in the worst sense of the word." <ref>{{cite website|url=http://latimesblogs.latimes.com/soundboard/2008/09/jennifer-hudson.html|title=Jennifer Hudson, David Cook and the problem of big, empty voices|publisher=[[Los Angeles Times]]|date=2008-09-26}}</ref>

==Music video==
A music video for "Light On" is currently being shot, and will be released by the end of [[October]]. <ref>{{cite website|url=http://www.hitsdailydouble.com/news/newsPage.cgi?news07276|title=Nashville Rockers and Idol Alum Make the Vibe|publisher=Hits Daily Double|date=2008-10-02}}</ref>

==Chart performance==
"Light On" sold 109,000 digital downloads in it's first week of availability, leading to a #17 debut on the ''[[Billboard]]'' [[Hot 100]]. It is Cook's second consecutive top twenty hit on the chart. However, runner-up [[David Archuleta]]'s single "[[Crush]]" had a higher debut than "Light On", with a #2 debut on ''Billboard'', selling over 166,000 copies.

==Charts==
{| class="wikitable sortable"
!Chart (2008)<ref>http://acharts.us/song/37243 acharts</ref>
!Peak<br>position
|-
|align="left"|U.S. [[Billboard (magazine)|''Billboard'']] [[Billboard Hot 100|Hot 100]]
|align="center"|17
|-
|align="left"|U.S. ''Billboard'' [[Hot Digital Songs]]
|align="center"|8
|-
|align="left"|[[Canadian Hot 100]]
|align="center"|61
|}

==References==
{{reflist}}

{{David Cook}}
{{American Idol}}

{{DEFAULTSORT:Light On}}
[[Category:2008 singles]]
[[Category:David Cook songs]]
[[Category:2000s rock song stubs]]
[[es:Light On]]

Revision as of 03:07, 10 October 2008

In mathematics, there are two basic results in Lie group theory that go by the name Cartan's theorem. They are both named for Élie Cartan.

1. The theorem that for a Lie group G, any closed subgroup is a Lie subgroup.
2. A theorem on highest weight vectors in the representation theory of a semisimple Lie group.

See also Cartan's theorems A and B, results of Henri Cartan.