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

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

1997-06-17

arxiv.org/abs/q-alg/9706019v1

Physics

Condensed Matter

26 pages, LaTeX using epsf.sty, one figure

Scientific paper

10.1063/1.532505

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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