A self-injective cellular algebra is weakly symmetric

DOI10.1006/jabr.1999.8037zbMath0953.16004OpenAlexW1992666380WikidataQ122938815 ScholiaQ122938815MaRDI QIDQ1570865

Changchang Xi, Steffen Koenig

Publication date: 7 November 2000

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

Full work available at URL: https://semanticscholar.org/paper/0263b9d79dbd25c8a0184405af61d89c787b7911

zbMATH Keywords

finite-dimensional algebrasweakly symmetric algebrasprojective indecomposable modulessemisimple algebrasquasi-Frobenius algebrascellular basescell filtrationsself-injective cellular algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Injective modules, self-injective associative rings (16D50) Quasi-Frobenius rings (16L60) Representations of associative Artinian rings (16G10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items

Nakayama Twisted Centers and Dual Bases of Frobenius Cellular Algebras, Enlarged symmetry algebras of spin chains, loop models, and \(S\)-matrices, Recollements of self-injective algebras, and classification of self-injective diagram algebras, Self-injective cellular algebras whose representation type are tame of polynomial growth, Projective cell modules of Frobenius cellular algebras., On cell modules of symmetric cellular algebras., The Cellularity of Twisted Doubles of Algebras with Radical Square Zero, NAKAYAMA AUTOMORPHISMS OF FROBENIUS CELLULAR ALGEBRAS

Cites Work

• When is a cellular algebra quasi-hereditary?
• Cellular algebras
• On the number of cells of a cellular algebra
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