Tilting, deformations and representations of linear groups over Euclidean algebras

Autor(es)

Bekkert, Viktor ^[1] ; Drozd, Yuriy ^[2] ; Futorny, Vyacheslav ^[3]

Afiliação do(s) autor(es)

^[1] Univ Fed Minas Gerais, Inst Ciencias Exatas, Dept Matemat, Belo Horizonte, MG - Brazil

^[2] Natl Acad Sci Ukraine, Inst Math, Kiev - Ukraine

^[3] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Pure and Applied Algebra; v. 217, n. 6, p. 1141-1152, JUN 2013.
• Citações Web of Science: 0

Resumo

We study irreducible unitary representations of linear groups over Dynkinian and Euclidean algebras, i.e. finite dimensional algebras derived equivalent to the path algebra of a Dynkin or Euclidean quiver. In particular, we describe such generic representations: we prove that there exists an open dense subset of the space of irreducible unitary representations isomorphic to the product of dual spaces of full linear groups and, perhaps, one more (explicitly described) space. The proof uses the technique of bimodule categories, deformations and representations of quivers. (C) 2012 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 10/50347-9 - Álgebras, representações e aplicações
• Beneficiário: Ivan Chestakov
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 07/05047-4 - Yuriy Drozd | Institute of Mathematics Academy of Sciences of Ukraine - Ucrânia
• Beneficiário: Vyacheslav Futorny
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional