Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Representation Theory
Representation Theory
ISSN 1088-4165

 

Explicit matrices for irreducible representations of Weyl groups


Author: John R. Stembridge
Journal: Represent. Theory 8 (2004), 267-289
MSC (2000): Primary 20F55, 20C40; Secondary 05E15, 20-04
Published electronically: July 8, 2004
Erratum: Represent. Theory 10 (2006), 48
MathSciNet review: 2077483
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We present algorithms for constructing explicit matrices for every irreducible representation of a Weyl group, with particular emphasis on the exceptional groups. The algorithms we present will produce representing matrices in either of two forms: real orthogonal, with matrix entries that are square roots of rationals, or rational and seminormal. In both cases, the matrices are ``hereditary'' in the sense that they behave well with respect to restriction along a chosen chain of parabolic subgroups.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Representation Theory of the American Mathematical Society with MSC (2000): 20F55, 20C40, 05E15, 20-04

Retrieve articles in all journals with MSC (2000): 20F55, 20C40, 05E15, 20-04


Additional Information

John R. Stembridge
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109–1109
Email: jrs@umich.edu

DOI: http://dx.doi.org/10.1090/S1088-4165-04-00236-5
PII: S 1088-4165(04)00236-5
Received by editor(s): March 12, 2004
Published electronically: July 8, 2004
Additional Notes: This work was supported by NSF grants DMS–0070685 and DMS–0245385
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.