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Representations of Weyl groups of type B induced from centralisers of involutions

Published online by Cambridge University Press:  17 April 2009

Philip D. Ryan
Affiliation:
Department of Mathematics, IAS ANU, GPO Box 4 Canberra ACT 2601, Australia
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Abstract

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Let G be a Weyl group of type B, and T a set of representatives of the conjugacy classes of self-inverse elements of G. For each t in T, we construct a (complex) linear character πt of the centraliser of t in G, such that the sum of the characters of G induced from the πt contains each irreducible complex character of G with multiplicity precisely 1. For Weyl groups of type A (that is, for the symmetric groups), a similar result was published recently by Inglis, Richardson and Saxl.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1991

References

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