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In the bocs seat: quasi-hereditary algebras and representation type
2017 (engelsk)Inngår i: Representation theory—current trends and perspectives / [ed] Henning Krause, Peter Littelmann, Gunter Malle, Karl-Hermann Neeb, Christoph Schweigert, European Mathematical Society Publishing House, 2017, s. 375-426Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

This paper surveys bocses, quasi-hereditary algebras and their relationship which was established in a recent result by Koenig, Ovsienko, and the author. Particular emphasis is placed on applications of this result to the representation type of the category filtered by standard modules for a quasi-hereditary algebra. In this direction, joint work with Thiel is presented showing that the subcategory of modules filtered by Weyl modules for tame Schur algebras is of finite representation type. The paper also includes a new proof for the classication of quasi-hereditary algebras with two simple modules, a result originally obtained by Membrillo–Hernández.

sted, utgiver, år, opplag, sider
European Mathematical Society Publishing House, 2017. s. 375-426
Emneord [en]
BGG category O, bocs, Eilenberg–Moore category, exact Borel subalgebra, Kleisli category, q-Schur algebras, quasi-hereditary algebras, reduction algorithm, representation type, Schur algebras, tame, wild
HSV kategori
Forskningsprogram
Matematik
Identifikatorer
URN: urn:nbn:se:uu:diva-359711DOI: 10.4171/171-1/14OAI: oai:DiVA.org:uu-359711DiVA, id: diva2:1245348
Konferanse
Conference of the Priority Program SPP 1388 in Representation Theory
Tilgjengelig fra: 2018-09-05 Laget: 2018-09-05 Sist oppdatert: 2018-09-05

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Külshammer, Julian

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