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The size of characters of exceptional lie groups

Part of: Lie groups Abstract harmonic analysis

Published online by Cambridge University Press:  09 April 2009

Kathryn E. Hare  and
Karen Yeats
Kathryn E. Hare
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada e-mail: [email protected]@uwaterloo.ca
Karen Yeats
Affiliation:
Department of Pure Mathematics, University of Waterloo, Waterloo, Ont. N2L 3G1, Canada e-mail: [email protected]@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.

Keywords

compactexceptional Lie groupcharacterscentral measures

MSC classification

Secondary: 22E46: Semisimple Lie groups and their representations 43A80: Analysis on other specific Lie groups 43A65: Representations of groups, semigroups, etc.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 77 , Issue 2 , October 2004 , pp. 233 - 248
Copyright
Copyright © Australian Mathematical Society 2004

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