Cells in quantum affine sl_n
Quantum Algebra
2007-05-23 v1 Representation Theory
Abstract
We study Lusztig's theory of cells for quantum affine . Using the geometric construction of the quantum group due to Lusztig and Ginzburg--Vasserot, we describe explicitly the two-sided cells, the number of left cells in a two--sided cell, and the asymptotic algebra, verifying conjectures of Lusztig.
Keywords
Cite
@article{arxiv.math/0209055,
title = {Cells in quantum affine sl_n},
author = {Kevin McGerty},
journal= {arXiv preprint arXiv:math/0209055},
year = {2007}
}