Some closed formulas for canonical bases of Fock spaces
Quantum Algebra
2007-05-23 v2 Representation Theory
Abstract
We give some closed formulas for certain vectors of the canonical bases of the Fock space representation of U_v(sl^_n). As a result, a combinatorial description of certain parabolic Kazhdan-Lusztig polynomials for affine type A is obtained.
Keywords
Cite
@article{arxiv.math/0104107,
title = {Some closed formulas for canonical bases of Fock spaces},
author = {Bernard Leclerc and Hyohe Miyachi},
journal= {arXiv preprint arXiv:math/0104107},
year = {2007}
}
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22 pages