On cohomology and support varieties for Lie superalgebras

DOI10.1016/j.jalgebra.2011.11.023zbMath1273.17026arXiv1009.3534OpenAlexW2963094569WikidataQ115351149 ScholiaQ115351149MaRDI QIDQ427757

Irfan Bagci

Publication date: 18 June 2012

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.3534

zbMATH Keywords

Lie superalgebrascohomological support varietiesatypicalityfinite generation of cohomologyKac supermodulessimple supermodules

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Actions of groups on commutative rings; invariant theory (13A50) Cohomology of Lie (super)algebras (17B56)

Related Items (6)

Integral bases for the universal enveloping algebras of Cartan map superalgebras ⋮ Cohomological finite generation for restricted Lie superalgebras and finite supergroup schemes ⋮ Irreducible modules for equivariant map superalgebras and their extensions ⋮ Cohomology and support varieties for restricted Lie superalgebras ⋮ Cohomology and support varieties for Lie superalgebras ⋮ Restricted cohomology of restricted Lie superalgebras

Cites Work

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• Polar representations
• A generalization of the Chevalley restriction theorem
• The theory of Lie superalgebras. An introduction
• Kac-Moody groups, their flag varieties and representation theory
• Cohomology and support varieties for restricted Lie superalgebras
• Cohomology and support varieties for Lie superalgebras
• Cohomology and Support Varieties for Lie Superalgebras of Type W(n)
• Cohomology and support varieties for Lie superalgebras II
• Lie superalgebras

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