Invariant formula of the determinant of a Heisenberg representation

Publications

Invariant formula of the determinant of a Heisenberg representation

Year : 2017

Publisher : World Scientific Publishing Co. Pte Ltdwspc@wspc.com.sg

Source Title : International Journal of Mathematics

Document Type :

Abstract

In this paper, we give an explicit formula of the determinant of a Heisenberg representation ρ of a finite group G. Heisenberg representations are induced by 1-dimensional characters in multiple ways, but our formula will be independent of any particular choice of induction.