Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW Type Basis
Quantum Algebra
2008-07-25 v2 Representation Theory
Abstract
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 -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.
Keywords
Cite
@article{arxiv.math/0605179,
title = {Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW Type Basis},
author = {Xiaotang Bai and Naihong Hu},
journal= {arXiv preprint arXiv:math/0605179},
year = {2008}
}
Comments
20 pages, 1 figure. Algebra Colloquium (to appear)