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arxiv: q-alg/9706019 · v1 · submitted 1997-06-17 · q-alg · cond-mat· hep-th· math.QA· nlin.SI· solv-int

Intertwining Operators for a Degenerate Double Affine Hecke Algebra and Multivariable Orthogonal Polynomials

classification q-alg cond-mathep-thmath.QAnlin.SIsolv-int
keywords operatorspolynomialsaffinealgebradegeneratedoubleheckeorthogonal
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Operators that intertwine representations of a degenerate version of the double affine Hecke algebra are introduced. Each of the representations is related to multi-variable orthogonal polynomials associated with Calogero-Sutherland type models. As applications, raising operators and shift operators for such polynomials are constructed.

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