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Primitive ideals, twisting functors and star actions for classical Lie superalgebras
Univ Ghent, Dept Math Anal, Krijgslaan 281, B-9000 Ghent, Belgium..
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2016 (English)In: Journal für die Reine und Angewandte Mathematik, ISSN 0075-4102, E-ISSN 1435-5345, Vol. 718, 207-253 p.Article in journal (Refereed) Published
Abstract [en]

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. 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.

Place, publisher, year, edition, pages
2016. Vol. 718, 207-253 p.
National Category
Algebra and Logic
Identifiers
URN: urn:nbn:se:uu:diva-307761DOI: 10.1515/crelle-2014-0079ISI: 000385373900008OAI: oai:DiVA.org:uu-307761DiVA: diva2:1048298
Funder
Swedish Research Council
Available from: 2016-11-21 Created: 2016-11-21 Last updated: 2016-11-21Bibliographically approved

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Mazorchuk, Volodymyr
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