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

We provide an explicit construction for a complete set of orthogonalprimitive 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.

Publication year:2011

Keywords:idempotents, group algebras, group rings, finite fields, coding theory, representation theory