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In the bocs seat: quasi-hereditary algebras and representation type
2017 (English)In: Representation theory—current trends and perspectives / [ed] Henning Krause, Peter Littelmann, Gunter Malle, Karl-Hermann Neeb, Christoph Schweigert, European Mathematical Society Publishing House, 2017, p. 375-426Conference paper, Published paper (Refereed)
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.

Place, publisher, year, edition, pages
European Mathematical Society Publishing House, 2017. p. 375-426
Keywords [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
National Category
Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-359711DOI: 10.4171/171-1/14OAI: oai:DiVA.org:uu-359711DiVA, id: diva2:1245348
Conference
Conference of the Priority Program SPP 1388 in Representation Theory
Available from: 2018-09-05 Created: 2018-09-05 Last updated: 2018-09-05

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