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Category O for the Schrodinger algebra
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Linear Algebra and its Applications, ISSN 0024-3795, E-ISSN 1873-1856, Vol. 460, 17-50 p.Article in journal (Refereed) Published
Abstract [en]

We study category O for the (centrally extended) Schrodinger algebra. We determine the quivers for all blocks and relations for blocks of nonzero central charge. We also describe the quiver and relations for the finite dimensional part of O. We use this to determine the center of the universal enveloping algebra and annihilators of Verma modules. Finally, we classify primitive ideals of the universal enveloping algebra which intersect the center of the centrally extended Schrodinger algebra trivially.

Place, publisher, year, edition, pages
2014. Vol. 460, 17-50 p.
Keyword [en]
Lie algebra, Category O, Simple module, Weight module, Indecomposable module, Annihilator
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-235296DOI: 10.1016/j.laa.2014.07.030ISI: 000342250400002OAI: oai:DiVA.org:uu-235296DiVA: diva2:762152
Available from: 2014-11-10 Created: 2014-10-30 Last updated: 2017-12-05Bibliographically approved

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Dubsky, Brendan FriskMazorchuk, Volodymyr

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