Global character formulae for compact Lie groups
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- by A. H. Dooley and N. J. Wildberger PDF
- Trans. Amer. Math. Soc. 351 (1999), 477-495 Request permission
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.References
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Additional Information
- 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
- Received by editor(s): April 30, 1995
- © Copyright 1999 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 351 (1999), 477-495
- MSC (1991): Primary 22E30; Secondary 43A75
- DOI: https://doi.org/10.1090/S0002-9947-99-02406-X
- MathSciNet review: 1638234