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A new family of simple gl2n(C)-modules
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2016 (English)In: Pacific Journal of Mathematics, ISSN 0030-8730, E-ISSN 1945-5844, Vol. 283, no 1, 1-19 p.Article in journal (Refereed) Published
Abstract [en]

We construct a new family of simple gl2n-modules which depends on n2 generic parameters. Each module in the family is isomorphic to the regular U(gln )-module when restricted the gln -subalgebra naturally embedded into the top-left corner.

Place, publisher, year, edition, pages
2016. Vol. 283, no 1, 1-19 p.
Keyword [en]
Representation theory; Lie algebra; Nonweight module; Whittaker module
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-283050DOI: 10.2140/pjm.2016.283.1ISI: 000378758000001OAI: oai:DiVA.org:uu-283050DiVA: diva2:918102
Available from: 2016-04-09 Created: 2016-04-09 Last updated: 2017-11-30Bibliographically approved

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Nilsson, Jonathan

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