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- W1969028359 abstract "Let G be a connected reductive algebraic group over an algebraically closed field k of prime characteristic p, and š¯”¤ = Lie (G). In this paper, we study representations of the reductive Lie algebra š¯”¤ with p-character Ļ‡ of standard Levi form associated with an index subset I of simple roots. With aid of the support variety theory, we prove that a U Ļ‡ (š¯”¤)-module is projective if and only if it is a strong tilting module, i.e., admitting both [Formula: see text]- and [Formula: see text]-filtrations. Then by an analogy of the arguments in [2] for G 1 T-modules, we construct so-called Andersenā€“Kaneda filtrations associated with each projective š¯”¤-module of p-character Ļ‡, and finally obtain sum formulas from those filtrations." @default.
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- W1969028359 date "2010-06-01" @default.
- W1969028359 modified "2023-09-26" @default.
- W1969028359 title "Filtrations in Modular Representations of Reductive Lie Algebras" @default.
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- W1969028359 doi "https://doi.org/10.1142/s1005386710000283" @default.
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