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Langlands decomposition : ウィキペディア英語版 | Langlands decomposition In mathematics, the Langlands decomposition writes a parabolic subgroup ''P'' of a semisimple Lie group as a product of a reductive subgroup ''M'', an abelian subgroup ''A'', and a nilpotent subgroup ''N''. == Applications ==
A key application is in parabolic induction, which leads to the Langlands program: if is a reductive algebraic group and is the Langlands decomposition of a parabolic subgroup ''P'', then parabolic induction consists of taking a representation of , extending it to by letting act trivially, and inducing the result from to .
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Langlands decomposition」の詳細全文を読む
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