Geometric realizations of Lusztig's symmetries
Representation Theory
2015-01-27 v2 Quantum Algebra
Abstract
In this paper, we give geometric realizations of Lusztig's symmetries. We also give projective resolutions of a kind of standard modules. By using the geometric realizations and the projective resolutions, we obtain the categorification of the formulas of Lusztig's symmetries.
Keywords
Cite
@article{arxiv.1501.01778,
title = {Geometric realizations of Lusztig's symmetries},
author = {Jie Xiao and Minghui Zhao},
journal= {arXiv preprint arXiv:1501.01778},
year = {2015}
}