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vector valued spherical functions and macdonald–koornwinder polynomials

Published online by Cambridge University Press:  01 September 2005

alexei a. oblomkov  and
jasper v. stokman
alexei a. oblomkov
Affiliation:
department of mathematics, massachusetts institute of technology, 77 massachusetts avenue, cambridge, ma 02139, usaoblomkov@math.mit.edu
jasper v. stokman
Affiliation:
kdv institute for mathematics, universiteit van amsterdam, plantage muidergracht 24, 1018 tv amsterdam, the netherlandsjstokman@science.uva.nl
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Abstract

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we interpret the five-parameter family of macdonald–koornwinder polynomials as vector valued spherical functions on quantum grassmannians.

Keywords

macdonald–koornwinder polynomialsvector valued spherical functionsquantum groupsquantum symmetric pairs33d80 (primary)33d52 (secondary)
Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 5 , September 2005 , pp. 1310 - 1350
Copyright
foundation compositio mathematica 2005