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- W4380866475 abstract "Support varieties for Lie superalgebras over the complex numbers were introduced in cite{BKN1} using the relative cohomology. In this paper we discuss finite generation of the relative cohomology rings for Lie superalgebras, we formulate a definition for subalgebras which detect the cohomology, also discuss realizability of support varieties. In the last section as an application we compute the relative cohomology ring of the Lie superalgebra $overline{S}(n)$ relative to the graded zero component $overline{S}(n)_0$ and show that this ring is finitely generated. We also compute support varieties of all simple modules in the category of finite dimensional $overline{S}(n)$-modules which are completely reducible over $overline{S}(n)_0$." @default.
- W4380866475 created "2023-06-16" @default.
- W4380866475 creator A5072403734 @default.
- W4380866475 date "2010-09-18" @default.
- W4380866475 modified "2023-10-18" @default.
- W4380866475 title "On cohomology and support varieties for Lie superalgebras" @default.
- W4380866475 doi "https://doi.org/10.48550/arxiv.1009.3534" @default.
- W4380866475 hasPublicationYear "2010" @default.
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