Monomial Bases of Quantized Enveloping Algebras

Details Monomial Bases of Quantized Enveloping Algebras Monomial Bases of Quantized Enveloping Algebras

1998-10-28

arxiv.org/abs/math/9810167v1

Mathematics

Quantum Algebra

12 pages, no figures, Latex file

Scientific paper

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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