Cellular algebras and quasi-hereditary algebras: a comparison

DOI10.1090/S1079-6762-99-00063-3zbMath0999.16010OpenAlexW1849155109MaRDI QIDQ4485744

Changchang Xi, Steffen Koenig

Publication date: 18 June 2000

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228926

zbMATH Keywords

quasi-hereditary algebrascellular algebrasvanishing of cohomologyCartan determinants

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Semihereditary and hereditary rings, free ideal rings, Sylvester rings, etc. (16E60)

Related Items (7)

Hecke algebras of finite type are cellular. ⋮ Cellular bases of generalised q-Schur algebras ⋮ Cohomological stratification of diagram algebras. ⋮ Schur superalgebras in characteristic \(p\). ⋮ 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

Cites Work

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• On Schur algebras and related algebras. II
• On the structure of Brauer's centralizer algebras
• Quasi-hereditary algebras
• Cellular algebras
• The structure of the partition algebras
• On algebras which are connected with the semisimple continuous groups
• Cellular Algebras: Inflations and Morita Equivalences

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