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Notes on two-parameter quantum groups, (I)

Quantum Algebra 2014-10-06 v4 Representation Theory

Abstract

A simpler definition for a class of two-parameter quantum groups associated to semisimple Lie algebras is given in terms of Euler form. Their positive parts turn out to be 2-cocycle deformations of each other under some conditions. An operator realization of the positive part is given.

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Cite

@article{arxiv.math/0702298,
  title  = {Notes on two-parameter quantum groups, (I)},
  author = {Naihong Hu and Yufeng Pei},
  journal= {arXiv preprint arXiv:math/0702298},
  year   = {2014}
}

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11 pages