Primitive Central Idempotents of Nilpotent Group Algebras

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Published: 2025-08-08
DOI: https://doi.org/10.71712/
Keywords:
group rings, idempotents.

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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

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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Vol. 16 (2008)

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Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Quoos, L. ., & Veloso, P. M. . (2025). Primitive Central Idempotents of Nilpotent Group Algebras. Scientia Series A: Mathematical Sciences, 16, 87-93. https://doi.org/10.71712/