On bases of quantized enveloping algebras

Mathematics – Rings and Algebras

Scientific paper

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13 pages

Scientific paper

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.

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