Intertwining Operators for a Degenerate Double Affine Hecke Algebra and Multivariable Orthogonal Polynomials
q-alg
2009-10-30 v1 Condensed Matter
High Energy Physics - Theory
Quantum Algebra
Exactly Solvable and Integrable Systems
solv-int
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.
Cite
@article{arxiv.q-alg/9706019,
title = {Intertwining Operators for a Degenerate Double Affine Hecke Algebra and Multivariable Orthogonal Polynomials},
author = {Saburo Kakei},
journal= {arXiv preprint arXiv:q-alg/9706019},
year = {2009}
}
Comments
26 pages, LaTeX using epsf.sty, one figure