Twisted group algebras and their representations

Abstract

Let be a finite group, a field. A twisted group algebra A ( ) on over is an associative algebra whose elements are the formal linear combinations and in which the product (A)(B) is a non-zero multiple of ( AB ), where AB is the group product of A, B ∈ : . One gets the ordinary group algebra ( ) by taking each f A, B ≠ 1.