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Monomial Bases of Quantized Enveloping Algebras

Vyjayanthi Chari, Nanhua Xi

math.QAarXiv:math/9810167

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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