Primitive ideals, twisting functors and star actions for classical Lie superalgebras-Reference-Cited by-同舟云学术

Primitive ideals, twisting functors and star actions for classical Lie superalgebras

Published:2014-10-01 Issue:718 Volume:2016 Page:207-253
ISSN:1435-5345
Container-title:Journal für die reine und angewandte Mathematik
language:en
Short-container-title:

Author:

Coulembier Kevin¹,Mazorchuk Volodymyr²

Affiliation:

1. Department of Mathematical Analysis , Ghent University , Krijgslaan 281, 9000 Gent , Belgium

2. Department of Mathematics , University of Uppsala , Box 480, SE-75106 , Uppsala , Sweden

Abstract

Abstract We study three related topics in representation theory of classical Lie superalgebras. The first one is classification of primitive ideals, i.e. annihilator ideals of simple modules, and inclusions between them. The second topic concerns Arkhipov’s twisting functors on the BGG category 𝒪

{\mathcal{O}}

. The third topic addresses deformed orbits of the Weyl group. These take over the role of the usual Weyl group orbits for Lie algebras, in the study of primitive ideals and twisting functors for Lie superalgebras.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2014-0079/pdf

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3. S. Arkhipov, Algebraic construction of contragradient quasi-Verma modules in positive characteristic, Representation theory of algebraic groups and quantum groups, Adv. Stud. Pure Math. 40, Mathematical Society of Japan, Tokyo (2004), 27–68.

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