Note on Heisenberg Characters of Heisenberg Groups

An irreducible character χ of a group G is called a Heisenberg character, if Kerχ ⊇ [G,[G,G]]. In this paper, the Heisenberg characters of the quaternion Heisenberg, generalized Heisenberg, polarised Heisenberg and three other types of infinite Heisenberg groups are computed.

Bibliographic Details
Main Authors: Alieh Zolfi, Ali Reza Ashrafi
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 2018-12-01
Series:Ratio Mathematica
Subjects:
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/429