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On bases of quantized enveloping algebras

Bangming Deng, Jie Du

math.RAarXiv:math/0307258

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,v-1]-form. The relations between monomial bases, PBW bases and canonical bases are also discussed.

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