Primitive Central Idempotents of Nilpotent Group Algebras

Luciane  Quoos; Paula M.  Veloso

Vol. 16 (2008)

Articles

Primitive Central Idempotents of Nilpotent Group Algebras

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Luciane Quoos,
Paula M. Veloso

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Luciane Quoos
Instituto de Matematica, Universidade Federal do Rio de Janeiro - UFRJ, Av. Brigadeiro ´ Trompowsky, s/n, Cidade Universitaria - Ilha do Fundo, 21945-970, P.O. box 68530, Rio ˜ de Janeiro - RJ, Brazil

Paula M. Veloso
Instituto de Matemática Pura e Estatística Aplicada, Universidade de Sao Paulo - ˜ IME,USP, Rua do Matao, 1010, Cidade Universitaria, 05508-090, Sao Paulo, SP, Brazil

Published 04-03-2025

Keywords

group rings,
idempotents.

Abstract

We exhibit the primitive central idempotents of a semisimple group algebra of a finite nilpotent group over an arbitrary field (without using group characters), examining the abelian case separately. Our result extends and improves the main result in [1].

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