Mathematics – Representation Theory
Scientific paper
2008-12-08
Mathematics
Representation Theory
To appear in Nagoya Math J
Scientific paper
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.
Li Yiqiang
Lin Zongzhu
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