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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)

Information

Type
Research Article
Information
Compositio Mathematica , Volume 141 , Issue 5 , September 2005 , pp. 1310 - 1350
Copyright
foundation compositio mathematica 2005