Finite group algebras of nilpotent groups: a complete set of orthogonal primitive idempotents (1302.3882v1)

Published 15 Feb 2013 in math.RT, math.GR, and math.RA

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.