Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
Masatoshi Noumi
Abstract
Quantum analogues of the homogeneous spaces (n)/(n) and (2n)/(2n) are introduced. The zonal spherical functions on these quantum homogeneous spaces are represented by Macdonald's symmetric polynomials P=P(x1,·s,xn;q,t) with t=q1 2 or t=q2.
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