On the quasi-heredity and the semi-simplicity of cellular algebras.

DOI10.1016/S0021-8693(03)00259-XzbMath1039.16006MaRDI QIDQ1403903

Yongzhi Cao

Publication date: 20 August 2003

Published in: Journal of Algebra (Search for Journal in Brave)

zbMATH Keywords

quasi-hereditary algebrascell modulescellular algebrassemisimple algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Representations of associative Artinian rings (16G10) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items (6)

Self-injective cellular algebras whose representation type are tame of polynomial growth ⋮ Borelic pairs for stratified algebras ⋮ The Cellularity of Twisted Doubles of Algebras with Radical Square Zero ⋮ Morita context functors on cellular categories ⋮ Cyclotomic Temperley–Lieb Algebra of TypeDand Its Representation Theory ⋮ Inductions and restrictions on towers of cellularly stratified diagram algebras

Cites Work

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• Quasi-hereditary algebras
• On the quasi-heredity of Birman-Wenzl algebras
• When is a cellular algebra quasi-hereditary?
• Cellular algebras and Cartan matrices.
• Cellular algebras
• The category of modules with good filtrations over a quasi-hereditary algebra has almost split sequences
• Standardly stratified algebras and cellular algebras

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