Monomial Bases of Quantized Enveloping Algebras

1998/10/28 by Vyjayanthi Chari, Chari, Vyjayanthi, Nanhua Xi +1
Mathematics · #17B #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:17B

paper · pdf · doi:10.48550/arxiv.math/9810167

12 pages, no figures, Latex file

arxiv created 1998/10/28 · arxiv updated 2009/11/30

Abstract

We construct a monomial basis of the positive part of the quantized enveloping algebra associated to a finite-dimensional simple Lie algebra. As an application we give a simple proof of the existence and uniqueness of the canonical basis of the positive part.

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