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- W2950114308 abstract "In this paper we present a formula for Macdonald's polynomials for the root system A(n-1) which arises from the representation theory of quantum sl(n). This formula expresses Macdonald's polynomials via (weighted) traces of intertwining operators between certain modules over quantum sl(n). We also describe the commutative system of Macdonald's difference operators using the generators of the center of the quantum universal enveloping algebra, and use this description to prove a trace formula for generic eigenfunctions of these operators. These functions are generalized q-hypergeometric functions which are related to solutions of the quantum Knizhnik-Zamolodchikov equations." @default.
- W2950114308 created "2019-06-27" @default.
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- W2950114308 date "1993-12-13" @default.
- W2950114308 modified "2023-09-27" @default.
- W2950114308 title "Macdonald's polynomials and representations of quantum groups" @default.
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