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Moscow Mathematical Journal, 2007, Volume 7, Number 4, Pages 723–741
DOI: https://doi.org/10.17323/1609-4514-2007-7-4-723-741 (Mi mmj308) 		 
This article is cited in 11 scientific papers (total in 11 papers)

The central support of the Plancherel measure of an affine Hecke algebra

E. Opdam

University of Amsterdam
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DOI: https://doi.org/10.17323/1609-4514-2007-7-4-723-741
Abstract: We give conceptual proofs of certain basic properties of the arrangement of shifted root hyperplanes associated to a root system $R_0$ and a $W_0=W(R_0)$-invariant real valued parameter function on $R_0$. The method is based on the role of this shifted root hyperplane arrangement for the harmonic analysis of affine Hecke algebras. In addition this yields a conceptual proof of the description of the central support of the Plancherel measure of an affine Hecke algebra given by the author earlier.
Key words and phrases: Affine Hecke algebra, Plancherel measure, positivity, residue calculus, support.
Received: January 26, 2007
Bibliographic databases:
MSC: Primary 20C08; Secondary 22D25, 22E35, 43A30
Language: English
Citation: E. Opdam, “The central support of the Plancherel measure of an affine Hecke algebra”, Mosc. Math. J., 7:4 (2007), 723–741
Citation in format AMSBIB
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\paper The central support of the Plancherel measure of an affine Hecke algebra
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\vol 7
\issue 4
\pages 723--741
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