Multivariable Askey-Wilson Polynomials and Quantum Complex Grassmannians
q-alg
2008-02-03 v1 量子代数
摘要
We present a one-parameter family of constant solutions of the reflection equation and define a family of quantum complex Grassmannians endowed with a transitive action of the quantum unitary group. By computing the radial part of a suitable Casimir operator, we identify the zonal spherical functions (i.e. infinitesimally bi-invariant matrix coefficients of finite-dimensional irreducible representations) as multivariable Askey-Wilson polynomials containing two continuous and two discrete parameters.
引用
@article{arxiv.q-alg/9603014,
title = {Multivariable Askey-Wilson Polynomials and Quantum Complex Grassmannians},
author = {M. Noumi and M. S. Dijkhuizen and T. Sugitani},
journal= {arXiv preprint arXiv:q-alg/9603014},
year = {2008}
}
备注
11 pages, AMS-TeX 2.1, no figures. To appear in: Proceedings of a Workshop on Special Functions, q-Series and Related Topics, Toronto, June 19-23, 1995, Fields Inst. Comm