(B, N) pair (Q1317188)

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structure on Lie groups

BN-pair
Tits system

Language	Label	Description	Also known as
English	(B, N) pair	structure on Lie groups	BN-pair Tits system

Statements

mathematical structure

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mathematical concept

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group of Lie type

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defining formula

{\begin{aligned}\langle B\cup N\rangle &=G\\B\cap N&\triangleleft N\\\langle S\rangle &=N/(B\cap N)\\\forall s\in S\colon s^{2}&=1\\\forall (s,w)\in S\times (N/(B\cap N))\colon sBw&\subset BswB\cup BwB\\\forall s\in S\colon sB&\neq Bs\end{aligned}}

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maintained by WikiProject

WikiProject Mathematics

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Identifiers

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Freebase Data Dumps

publication date

28 October 2013

Group Properties article ID

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Microsoft Academic ID

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Sitelinks

Wikipedia(6 entries)

Wikibooks(0 entries)

Wikinews(0 entries)

Wikiquote(0 entries)

Wikisource(0 entries)

Wikiversity(0 entries)

Wikivoyage(0 entries)

Wiktionary(0 entries)

Multilingual sites(0 entries)

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