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

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

2006-05-07

arxiv.org/abs/math/0605179v2

ALgebra Colloquium, 15:4 (2008), 619--636

Mathematics

Quantum Algebra

20 pages, 1 figure. Algebra Colloquium (to appear)

Scientific paper

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.

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