%0 Journal Article
%T Canonical Bases of Borcherds-Cartan Type
%A Yiqiang Li
%A Zongzhu Lin
%J Mathematics
%D 2008
%I arXiv
%X 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.
%U http://arxiv.org/abs/0812.1449v1