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- W2950159584 abstract "Let $G$ be a connected reductive algebraic group $G$ over an algebraically closed field $k$ of prime characteristic $p$, and $ggg=Lie(G)$. In this paper, we study modular representations of the reductive Lie algebra $ggg$ with $p$-character $chi$ of standard Levi-form associated with an index subset $I$ of simple roots. With aid of support variety theory we prove a theorem that a $U_chi(ggg)$-module is projective if and only if it is a strong tilting module, i.e. admitting both $cz_Q$- and $cz^{w^I}_Q$-filtrations (to see Theorem ref{THMFORINV}). Then by analogy of the arguments in cite{AK} for $G_1T$-modules, we construct so-called Andersen-Kaneda filtrations associated with each projective $ggg$-module of $p$-character $chi$, and finally obtain sum formulas from those filtrations." @default.
- W2950159584 created "2019-06-27" @default.
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- W2950159584 date "2007-03-18" @default.
- W2950159584 modified "2023-10-18" @default.
- W2950159584 title "Filtrations in Modular Representations of Reductive Lie Algebras" @default.
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- W2950159584 doi "https://doi.org/10.48550/arxiv.math/0703528" @default.
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