Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW Type Basis

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165676The 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)Quantum AlgebraRepresentation TheoryPrimary 17B37, 81R50; Secondary 16W30Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW Type Basistext