Self-injective cellular algebras of polynomial growth representation type

2017/05/23 by Susumu Ariki, Ryoichi Kase, Ariki, Susumu +5
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1705.08048

(ver.1)48 pages (ver.2) minor corrections

openalex publication_date 2017/05/23 · openalex created_date 2017/06/05 · arxiv created 2017/06/30 · arxiv updated 2017/07/03 · openalex updated_date 2026/07/28

Abstract

We classify Morita equivalence classes of indecomposable self-injective cellular algebras which have polynomial growth representation type, assuming that the base field has an odd characteristic. This assumption on the characteristic is for the cellularity to be a Morita invariant property.

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