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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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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.
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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