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On matrix coefficients of the Satake isomorphism: complements to the paper of M. Rapoport
- Source :
- manuscripta mathematica. 101:167-174
- Publication Year :
- 2000
- Publisher :
- Springer Science and Business Media LLC, 2000.
-
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.
Details
- ISSN :
- 14321785 and 00252611
- Volume :
- 101
- Database :
- OpenAIRE
- Journal :
- manuscripta mathematica
- Accession number :
- edsair.doi...........740f52504afab548b7bff8f7defcb002