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q-Deformation of W(2,2) Lie algebra associated with quantum groups

Mathematical Physics 2012-05-01 v2 math.MP

Abstract

An explicit realization of the W(2,2) Lie algebra is presented using the famous bosonic and fermionic oscillators in physics, which is then used to construct the q-deformation of this Lie algebra. Furthermore, the quantum group structures on the q-deformation of this Lie algebra are completely determined.

Keywords

Cite

@article{arxiv.1006.0075,
  title  = {q-Deformation of W(2,2) Lie algebra associated with quantum groups},
  author = {Lamei Yuan},
  journal= {arXiv preprint arXiv:1006.0075},
  year   = {2012}
}

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12 pages