arXiv:1302.3882 Abstract | arXiv Analytics

arXiv:1302.3882 [math.RT]Abstract References Reviews Resources

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

Published 2013-02-15Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:1302.3747

Journal: Inneke Van Gelder, Gabriela Olteanu, Finite group algebras of nilpotent groups: A complete set of orthogonal primitive idempotents, Finite Fields and Their Applications, Volume 17, Issue 2, March 2011, Pages 157-165

DOI: 10.1016/j.ffa.2010.10.005

Categories: math.RT, math.GR, math.RA

Keywords: finite group algebra, orthogonal primitive idempotents, nilpotent group, complete set, simple epimorphic image

Tags: journal article

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