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In algebra, a Jantzen filtration is a filtration of a Verma module of a semisimple Lie algebra, or a Weyl module of a reductive algebraic group of positive characteristic. Jantzen filtrations were introduced by . ==Jantzen filtration for Verma modules== If ''M''(λ) is a Verma module of a semisimple Lie algebra with highest weight λ, then the Janzen filtration is a decreasing filtration : It has the following properties: *''M''(λ)1 is the maximal proper submodule of ''M''(λ) *The quotients ''M''(λ)''k''/''M''(λ)''k''+1 have non-degenerate contravariant bilinear forms. * : (the Jantzen sum formula) 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「Jantzen filtration」の詳細全文を読む スポンサード リンク
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