Canonical Bases of Borcherds-Cartan Type

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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.
To appear in Nagoya Math J

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Representation Theory, Quantum Algebra, 17B37, 16G20, 14L30

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http://salesiana.dossiersoluciones.com/handle/123456789/209869

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.1449
 http://arxiv.org/abs/0812.1449

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arXiv