The primitive idempotents of the p-permutation ring

Serge Bouc (1) , Jacques Thévenaz (2)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée
2 Section de Mathematiques [Lausanne]

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\otimes pp_k(G), where pp_k(G) is the ring of p-permutation kG-modules.

Mots clés: p-permutation; idempotent; trivial source

Domaines: Théorie des groupes [math.GR]; Anneaux et algèbres [math.RA]

Serge Bouc, Jacques Thévenaz. The primitive idempotents of the p-permutation ring. 2009. ⟨hal-00430256⟩