Geometrizations of quantum groups and dual semicanonical bases
Representation Theory
2024-04-29 v2 Algebraic Geometry
Quantum Algebra
Rings and Algebras
Abstract
In this paper, we give a geometrization of semicanonical bases of quantum groups via Grothendieck groups of the derived categories of Lusztig's nilpotent varieties. Meanwhile, we describe the dual semicanonical bases in terms of Serre polynomials of Grassmannians of modules over preprojective algebras.
Keywords
Cite
@article{arxiv.2404.00663,
title = {Geometrizations of quantum groups and dual semicanonical bases},
author = {Yingjin Bi},
journal= {arXiv preprint arXiv:2404.00663},
year = {2024}
}
Comments
10 pages. Any comments welcome