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Radicals of symmetric cellular algebras

2009/11/18 by Yanbo Li, Li, Yanbo
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT

paper · pdf · doi:10.48550/arxiv.0911.3524

15 pages

openalex publication_date 2009/11/18 · arxiv created 2011/02/28 · arxiv updated 2011/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let A be a finite dimensional symmetric cllular algebras. We construct a nilpotent ideal in A. The ideal connects the radicals of cell modules with the radical of the algebra. It also reveals some information on the dimensions of simple modules of A.

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