Parabolic category O for classical Lie superalgebras

DOI10.1007/978-3-319-02952-8_9zbMath1365.17003OpenAlexW576419605MaRDI QIDQ5172184

Volodymyr Mazorchuk

Publication date: 13 February 2015

Published in: Advances in Lie Superalgebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-02952-8_9

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (13)

Primitive ideals, twisting functors and star actions for classical Lie superalgebras ⋮ Some homological properties of category \(\mathcal{O}\). IV ⋮ Whittaker categories of quasi-reductive lie superalgebras and quantum symmetric pairs ⋮ Whittaker categories, properly stratified categories and Fock space categorification for Lie superalgebras ⋮ Kostant's problem for Whittaker modules ⋮ Parabolic category for periplectic Lie superalgebras ⋮ Homological invariants in category $\mathcal {O}$ for the general linear superalgebra ⋮ Translated simple modules for Lie algebras and simple supermodules for Lie superalgebras ⋮ Quantum group of type \(A\) and representations of queer Lie superalgebra ⋮ Type A blocks of super category \(\mathcal{O}\) ⋮ Whittaker modules for classical Lie superalgebras ⋮ Tilting modules for classical Lie superalgebras ⋮ SOME HOMOLOGICAL PROPERTIES OF CATEGORY FOR LIE SUPERALGEBRAS

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