Complexity for modules over the classical Lie superalgebra

DOI10.1112/S0010437X12000231zbMath1267.17021arXiv1107.2579MaRDI QIDQ3167322

Brian D. Boe, Daniel K. Nakano, Jonathan R. Kujawa

Publication date: 2 November 2012

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.2579

zbMATH Keywords

complexitycohomologyrepresentation theoryLie superalgebrassupport varietiesKac modules

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

M-traces in (non-unimodular) pivotal categories ⋮ Complexity of simple modules over the Lie superalgebra \(\mathfrak{osp}(k\vert 2)\) ⋮ Complexity of modules over classical Lie superalgebras ⋮ The Duflo-Serganova functor, vingt ans après ⋮ Homological invariants in category $\mathcal {O}$ for the general linear superalgebra ⋮ On support varieties for Lie superalgebras and finite supergroup schemes ⋮ Grothendieck rings for Lie superalgebras and the Duflo-Serganova functor ⋮ Modified traces on Deligne's category \(\underline{\mathrm{Re}}\mathrm p(S_t)\) ⋮ On supergroups and their semisimplified representation categories ⋮ Support varieties and modules of finite projective dimension for modular Lie superalgebras ⋮ Ambidextrous objects and trace functions for nonsemisimple categories ⋮ Tensor triangular geometry for classical Lie superalgebras

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