Abstract

We give a systematic description of many monomial bases for a specified quantized enveloping algebra and of many integral monomial bases for the associated Lusztig Z[v,v⁻¹]-form. The relations among monomial bases, PBW bases and canonical bases are also discussed.

Keywords

quantized enveloping algebra, Ringel–Hall algebra, generic extension, monomial basis, canonical basis

Mathematical Subject Classification

Primary: 17B37, 16G20

Authors