Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW Type Basis
Abstract
Description
The presentation of two-parameter quantum groups of type E-series in the sense of Benkart-Witherspoon [BW1] is given, which has a Drinfel'd quantum double structure. The universal $R$-matrix and a convex PBW-type basis are described for type E_6 (as a sample), and the conditions of those isomorphisms from these quantum groups into the one-parameter quantum doubles are discussed.
20 pages, 1 figure. Algebra Colloquium (to appear)
20 pages, 1 figure. Algebra Colloquium (to appear)