Canonical bases of higher-level q-deformed Fock spaces
Quantum Algebra
2007-05-23 v1
Abstract
We define canonical bases of the higher-level q-deformed Fock space modules of the affine Lie algebra sl(n)^. This generalizes the result of Leclerc and Thibon for the case of level 1. We express the transition matrices between the canonical bases and the natural bases of the Fock spaces in terms of affine Kazhdan-Lusztig polynomials.
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Cite
@article{arxiv.math/9901032,
title = {Canonical bases of higher-level q-deformed Fock spaces},
author = {Denis Uglov},
journal= {arXiv preprint arXiv:math/9901032},
year = {2007}
}
Comments
11 pages