English

Monomial Bases of Quantized Enveloping Algebras

Quantum Algebra 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/9810167,
  title  = {Monomial Bases of Quantized Enveloping Algebras},
  author = {Vyjayanthi Chari and Nanhua Xi},
  journal= {arXiv preprint arXiv:math/9810167},
  year   = {2007}
}

Comments

12 pages, no figures, Latex file