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

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.

• Type: Journal
• Year: 2011
• Where: FFA
• Authors: Inneke Van Gelder, Gabriela Olteanu
• Keywords: Complete Set, FFA 2011, Nilpotent Group, finite Group