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On selfadjoint functors satisfying polynomial relations

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  • Troels Agerholm, Denmark
  • Volodomyr Mazorchuk, Uppsala University, Sweden
We study selfadjoint functors acting on categories of finite dimen- sional modules over finite dimensional algebras with an emphasis on functors satisfying some polynomial relations. Selfadjoint func- tors 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 ex- ternal direct sums, external tensor products, Serre subcategories, quotients and centralizer subalgebras.
Original languageEnglish
JournalJournal of Algebra
Pages (from-to)448-567
Number of pages20
Publication statusPublished - 15 Mar 2011

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