Translator Disclaimer
2009 Canonical bases of Borcherds-Cartan type
Yiqiang Li, Zongzhu Lin
Nagoya Math. J. 194: 169-193 (2009).

Abstract

We study the canonical basis for the negative part $\mathbf{U}^{-}$ of the quantum generalized Kac-Moody algebra associated to a symmetric Borcherds-Cartan matrix. The algebras $\mathbf{U}^{-}$ associated to two different matrices satisfying certain conditions may coincide (6.3). We show that the canonical bases coincide provided that the algebras $\mathbf{U}^{-}$ coincide (Theorem 6.3.5). We also answer partially a question by Lusztig in [L3] (Theorem 7.1.1).

Citation

Download Citation

Yiqiang Li. Zongzhu Lin. "Canonical bases of Borcherds-Cartan type." Nagoya Math. J. 194 169 - 193, 2009.

Information

Published: 2009
First available in Project Euclid: 17 June 2009

zbMATH: 1194.17007
MathSciNet: MR2536530

Subjects:
Primary: 17B37
Secondary: 14L30, 16G20

Rights: Copyright © 2009 Editorial Board, Nagoya Mathematical Journal

JOURNAL ARTICLE
25 PAGES


SHARE
Vol.194 • 2009
Back to Top