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On selfadjoint functors satisfying polynomial relations
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
2011 (English)In: Journal of Algebra, ISSN 0021-8693, E-ISSN 1090-266X, Vol. 330, no 1, 448-467 p.Article in journal (Refereed) Published
Abstract [en]

We study selfadjoint functors acting on categories of finite dimensional modules over finite dimensional algebras with an emphasis on functors satisfying some polynomial relations. Selfadjoint functors satisfying several easy relations, in particular, idempotents and square roots of a sum of identity functors. are classified. We also describe various natural constructions for new actions using external direct sums, external tensor products. Serre subcategories, quotients and centralizer subalgebras.

Place, publisher, year, edition, pages
2011. Vol. 330, no 1, 448-467 p.
Keyword [en]
Category, Functor, Module, Action, Double centralizer, Relation
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-148944DOI: 10.1016/j.jalgebra.2011.01.004ISI: 000287676000026OAI: oai:DiVA.org:uu-148944DiVA: diva2:403806
Available from: 2011-03-15 Created: 2011-03-14 Last updated: 2017-12-11Bibliographically approved

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