Finite group algebras of nilpotent groups: A complete set of orthogonal primitive idempotents

Authors:
Inneke Van Gelder;Gabriela Olteanu
Affiliations:
Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050 Brussels, Belgium;Department of Statistics-Forecasts-Mathematics, Babeş-Bolyai University, Str. T. Mihali 58-60, 400591 Cluj-Napoca, Romania
Venue:
Finite Fields and Their Applications
Year:
2011

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Abstract

We provide an explicit construction for a complete set of orthogonal primitive idempotents of finite group algebras over nilpotent groups. Furthermore, we give a complete set of matrix units in each simple epimorphic image of a finite group algebra of a nilpotent group.