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THE SYMMETRIC GROUP REPRESENTATION ON COHOMOLOGY OF THE REGULAR ELEMENTS OF A MAXIMAL TORUS OF THE SPECIAL LINEAR GROUP

Part of: General theory of differentiable manifolds Representation theory of groups

Published online by Cambridge University Press:  01 February 2008

ANTHONY HENDERSON
ANTHONY HENDERSON*
Affiliation:
School of Mathematics and Statistics, University of Sydney, NSW 2006, Australia (email: [email protected])
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Abstract

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We give a formula for the character of the representation of the symmetric group Sn on each isotypic component of the cohomology of the set of regular elements of a maximal torus of SLn, with respect to the action of the centre.

Keywords

symmetric grouprepresentationcohomology

MSC classification

Secondary: 20C30: Representations of finite symmetric groups 58A10: Differential forms
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 84 , Issue 1 , February 2008 , pp. 85 - 98
Copyright
Copyright © 2008 Australian Mathematical Society

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