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

References in corpus (1)

• The Weyl-Brandt groupoid of a Nichols algebra of diagonal type

Cited by in corpus (1)

• PBWD bases and shuffle algebra realizations for $U_v(L{\mathfrak{sl}}_n),U_{v_1,v_2}(L{\mathfrak{sl}}_n),U_v(L\mathfrak{sl}(m|n))$ and their integral forms