Level-0 structure of level-1 $U_q(\widehat{sl}_2)$-modules and Macdonald polynomials
q-alg
2009-10-28 v2 High Energy Physics - Theory
Quantum Algebra
Abstract
The level- integrable highest weight modules of admit a level- action of the same algebra. This action is defined using the affine Hecke algebra and the basis of the level- module generated by components of vertex operators. Each level- module is a direct sum of finite-dimensional irreducible level- modules, whose highest weight vector is expressed in terms of Macdonald polynomials. This decomposition leads to the fermionic character formula for the level- modules.
Keywords
Cite
@article{arxiv.q-alg/9506016,
title = {Level-0 structure of level-1 $U_q(\widehat{sl}_2)$-modules and Macdonald polynomials},
author = {M. Jimbo and R. Kedem and H. Konno and T. Miwa and J. -U. H. Petersen},
journal= {arXiv preprint arXiv:q-alg/9506016},
year = {2009}
}
Comments
22 pages, LaTeX 2.09 (and amsfonts preferably). (Minor corrections)