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Monomial Bases of Quantized Enveloping Algebras

Vyjayanthi Chari·Nanhua Xi
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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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Vyjayanthi Chari, Nanhua Xi. 1998-10-28. Monomial Bases of Quantized Enveloping Algebras. https://arxiv.org/abs/math/9810167

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