On bases of quantized enveloping algebras

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 $\mathbb{Z}[v,v^{-1}]$-form. The relations between monomial bases, PBW bases and canonical bases are also discussed.

13 pages

Cited by in corpus (1)

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