On matrix coefficients of the Satake isomorphism: complements to the paper of M. Rapoport |
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| Authors: | Thomas J. Haines |
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| Affiliation: | (1) University of Toronto, Department of Mathematics, 100 St. George Street, Toronto, ON M5S 1A1, Canada. e-mail: haines@math.toronto.edu, CA |
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| Abstract: | We consider the matrix for the Satake isomorphism with respect to natural bases. We give a simple proof in the case of Chevalley groups that the matrix coefficients which are not obviously zero are in fact positive numbers. We also relate the matrix coefficients to Kazhdan–Lusztig polynomials and to Bernstein functions. Received: 29 June 1999 / Revised version: 7 September 1999 |
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| Keywords: | Mathematics Subject Classification (1991): 22/22 G |
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