Vol. 58, No. 2, 1975

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Characters and Schur indices of the unitary reflection group [321]3

Mark Benard

Vol. 58 (1975), No. 2, 309–321
Abstract

The group G considered in this paper is the finite irreducible unitary reflection group in 6 dimensions denoted by [321]3 in the notation of H. S. M. Coxeter. A character table for G is constructed. There are 169 irreducible characters and it is shown that each character has Schur index 1 over Q. Furthermore, each character has values in the field Q(√ −-3) and this field is a splitting field for G.

Mathematical Subject Classification 2000
Primary: 20C30
Milestones
Received: 23 April 1974
Published: 1 June 1975
Authors
Mark Benard