Transactions of the American Mathematical Society

Author(s): A. H. Dooley; N. J. Wildberger
Journal: Trans. Amer. Math. Soc. 351 (1999), 477-495.
MSC (1991): Primary 22E30; Secondary 43A75
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Abstract: We introduce the concept of a modulator, which leads to a family of character formulae, each generalizing the Kirillov formula. For a suitable choice of modulator, this enables one to understand the Plancherel measure of a compact Lie group as arising from a partition of the identity on the dual of its Lie algebra.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 22E30, 43A75

A. H. Dooley
Affiliation: School of Mathematics, The University of New South Wales, Sydney 2052, Australia

N. J. Wildberger
Affiliation: School of Mathematics, The University of New South Wales, Sydney 2052, Australia

DOI: 10.1090/S0002-9947-99-02406-X
PII: S 0002-9947(99)02406-X
Received by editor(s): April 30, 1995
Copyright of article: Copyright 1999, American Mathematical Society

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ISSN 1088-6850(e) ISSN 0002-9947(p)

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