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

Xiaotang Bai; Naihong Hu

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

量子代数 2008-07-25 v2 表示论

作者: Xiaotang Bai , Naihong Hu

摘要

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.

关键词

quantum groups

引用

@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}
}

备注

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

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

摘要

关键词

引用

备注

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