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Takiff algebra : ウィキペディア英語版 | Takiff algebra In mathematics, a Takiff algebra is a Lie algebra over a truncated polynomial ring. More precisely, a Takiff algebra of a Lie algebra ''g'' over a field ''k'' is a Lie algebra of the form ''g''()/(''x''''n''+1) = ''g''⊗''k''''k''()/(''x''''n''+1) for some positive integer ''n''. Sometimes these are called generalized Takiff algebras, and the name ''Takiff algebra'' is used for the case when ''n'' = 1. These algebras (for ''n'' = 1) were studied by , who in some cases described the ring of polynomials on these algebras invariant under the action of the adjoint group. Also Takiff ... groups, superalgebras, supergroups, symmetric spaces, takiffisation of modules. ==References==
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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「Takiff algebra」の詳細全文を読む
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