Canonical Bases of Borcherds-Cartan Type
Representation Theory
2008-12-09 v1 Quantum Algebra
Abstract
We study the canonical basis for the negative part of the quantum generalized Kac-Moody algebra associated to a symmetric Borcherds-Cartan matrix. The algebras associated to two different matrices satisfying certain conditions may coincide. We show that the canonical bases coincide provided that the algebras coincide. We also answer partially a question by Lusztig.
Keywords
Cite
@article{arxiv.0812.1449,
title = {Canonical Bases of Borcherds-Cartan Type},
author = {Yiqiang Li and Zongzhu Lin},
journal= {arXiv preprint arXiv:0812.1449},
year = {2008}
}
Comments
To appear in Nagoya Math J