The primitive idempotents of the p-permutation ring

2009/11/06 by Serge Bouc, Bouc, Serge, Jacques Thévenaz +1
Mathematics · #19A22 #20C20 #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · doi:10.48550/arxiv.0911.1243

openalex publication_date 2009/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be a finite group, let p be a prime number, and let K be a field of characteristic 0 and k be a field of characteristic p, both large enough. In this note we state explicit formulae for the primitive idempotents of K⊗ pp_k(G), where pp_k(G) is the ring of p-permutation kG-modules.

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