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

Abstract

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.

26 pages, LaTeX using epsf.sty, one figure

References in corpus (1)

• Orthogonal Symmetric Polynomials Associated with the Calogero Model

Cited by in corpus (2)

• Selberg integrals in 1D random Euclidean optimization problems
• Algebraic study on the $A_{N-1}$- and $B_N$-Calogero models with bosonic, fermionic and distinguishable particles