Semisimplicity of cellular algebras over positive characteristic fields

2008/03/02 by Reza Sharafdini, Sharafdini, Reza
Computer Science · Mathematics · #Coding theory and cryptography #Combinatorics (math.CO) #Cooperative Communication and Network Coding #FOS: Mathematics #Finite Group Theory Research #math.CO

paper · pdf · doi:10.48550/arxiv.0803.0133

arxiv created 2008/03/02 · openalex publication_date 2008/03/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate semisimplicity of cellular algebras over positive characteristic fields. Our main result shows that the Frame number of cellular algebras characterizes semisimplicity of it. In a sense, this is a generalization of Maschke's theorem.

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