Kostant-Lusztig $\mathbb A$-bases of Multiparameter Quantum Groups

Abstract

We study the Kostant-Lusztig $\mathbb A$-base of the multiparameter quantum groups. To simplify calculations, especially for $G_2$-type, we utilize the duality of the pairing of the universal $R$-matrix.

Submitted to Contemporary Math. on July 21, 2017