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The size of characters of exceptional lie groups

Published online by Cambridge University Press:  09 April 2009

Kathryn E. Hare
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada e-mail: kehare@uwaterloo.cakayeats@uwaterloo.ca
Karen Yeats
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada e-mail: kehare@uwaterloo.cakayeats@uwaterloo.ca
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Abstract

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Pointwise bounds for characters of representations of the compact, connected, simple, exceptional Life groups are obtained. It is a classical result that if μ is a central, continuous measure on such a group, then μdimG is absolutely continuous. Our estimates on the size of characters allow us to prove that the exponent, dimension of G, can be replaced by approximately the rank of G. Similar results were obtained earlier for the classical, compact Lie groups.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 2004

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