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arxiv: 1302.3882 · v1 · pith:VW75CQC7new · submitted 2013-02-15 · 🧮 math.RT · math.GR· math.RA

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

classification 🧮 math.RT math.GRmath.RA
keywords groupcompletefinitenilpotentalgebrasgroupsidempotentsorthogonal
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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.

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