MurnaghanNakayama rules for characters of IwahoriHecke algebras of classical type
Authors:
Tom Halverson and Arun Ram
Journal:
Trans. Amer. Math. Soc. 348 (1996), 39673995
MSC (1991):
Primary 20C05; Secondary 05E05
MathSciNet review:
1322951
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Abstract: In this paper we give MurnaghanNakayama type formulas for computing the irreducible characters of the IwahoriHecke algebras of types , and . Our method is a generalization of a derivation of the MurnaghanNakayama formula for the irreducible characters of the symmetric group given by Curtis Greene. Greene's approach is to sum up the diagonal entries of the matrices of certain cycle permutations in Young's seminormal representations. The analogues of the Young seminormal representations for the IwahoriHecke algebras of types , and were given by Hoefsmit.
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 P. N. Hoefsmit, Representations of Hecke algebras of finite groups with pairs of classical type, Thesis, Univ. of British Columbia, 1974.
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Additional Information
Tom Halverson
Affiliation:
Department of Mathematics, Macalester College, St. Paul, Minnesota 55105
Email:
halverson@macalstr.edu
Arun Ram
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706
Address at time of publication:
Department of Mathematics, Princeton University, Princeton, New Jersey 08544
DOI:
http://dx.doi.org/10.1090/S0002994796014912
PII:
S 00029947(96)014912
Received by editor(s):
October 20, 1994
Additional Notes:
Supported in part by a National Science Foundation postdoctoral fellowship DMS9107863
Article copyright:
© Copyright 1996
American Mathematical Society
