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Simple weight modules over weak generalized Weyl algebras
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra and Geometry.
2015 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 219, no 8, 3427-3444 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we address the problem of classification of simple weight modules over weak generalized Weyl algebras of rank one. The principal difference between weak generalized Weyl algebras and generalized Weyl algebras is that weak generalized Weyl algebras are defined using an endomorphism rather than an automorphism of a commutative ring R. We reduce classification of simple weight modules over weak generalized Weyl algebras to description of the dynamics of the action of the above mentioned endomorphism on the set of maximal ideals. We also describe applications of our results to the study of generalized Heisenberg algebras.

Place, publisher, year, edition, pages
2015. Vol. 219, no 8, 3427-3444 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-251965DOI: 10.1016/j.jpaa.2014.12.003ISI: 000351979000019OAI: oai:DiVA.org:uu-251965DiVA: diva2:812412
Funder
Swedish Research Council, D0474301
Available from: 2015-05-18 Created: 2015-04-28 Last updated: 2017-12-04Bibliographically approved

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Mazorchuk, Volodymyr

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