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

Xiaotang Bai·Naihong Hu
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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 $R$-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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BibTeXRIS

Xiaotang Bai, Naihong Hu. 2006-06-01. Two-parameter Quantum Groups of Exceptional Type E-Series and Convex PBW Type Basis. https://arxiv.org/abs/math/0605179

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