English

On bases of quantized enveloping algebras

Rings and Algebras 2007-05-23 v1 Quantum Algebra

Abstract

We give a systematic description of many monomial bases for a given quantized enveloping algebra and of many integral monomial bases for the associated Lusztig Z[v,v1]\mathbb Z[v,v^{-1}]-form. The relations between monomial bases, PBW bases and canonical bases are also discussed.

Keywords

Cite

@article{arxiv.math/0307258,
  title  = {On bases of quantized enveloping algebras},
  author = {Bangming Deng and Jie Du},
  journal= {arXiv preprint arXiv:math/0307258},
  year   = {2007}
}

Comments

13 pages

R2 v1 2026-07-22T16:56:23.523Z