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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Bott–Samelson variety ： ウィキペディア英語版 Bott–Samelson variety In mathematics, Bott–Samelson varieties were introduced independently by and (who named them Bott–Samelson varieties) as an algebraic group analogue of the spaces constructed for compact groups by . They are sometimes desingularizations of Schubert varieties. A Bott–Samelson variety ''Z'' can be constructed as :$P\_1\backslash times\_BP\_2\backslash times\_B\backslash times\backslash cdots\backslash times\_BP\_n/B$ where ''B'' is a Borel subgroup of a reductive algebraic group ''G'' and the ''P''s are minimal parabolic subgroups containing ''B''. (An element ''b'' of ''B'' acts on ''P'' on the right as right multiplication by ''b'' and acts on ''P'' on the left as left multiplication by ''b''−1.) Taking the product of its coordinates gives a proper map from the Bott–Samelson variety ''Z'' to the flag variety ''G/B'' whose image is a Schubert variety. In some cases this map is birational and gives a desingularization of the Schubert variety. See also Bott–Samelson resolution. ==References== * * * 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「Bott–Samelson variety」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.