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New algebraic structures in the $C_{\lambda}$-extended Hamiltonian system

Mathematical Physics 2016-09-07 v1 math.MP

Abstract

A realization of various algebraic structures in terms of the CλC_{\lambda}-extended oscillator algebras is introduced. In particular, the CλC_{\lambda}-extended oscillator algebras realization of Fairlie-Fletcher-Zachos (FFZ)algebra is given. This latter lead easily to the realization of the quantum Ut(sl(2))U_t(sl(2)) algebra. The new deformed Virasoro algebra is also presented.

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Cite

@article{arxiv.math-ph/0309038,
  title  = {New algebraic structures in the $C_{\lambda}$-extended Hamiltonian system},
  author = {E. H. El Kinani},
  journal= {arXiv preprint arXiv:math-ph/0309038},
  year   = {2016}
}

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10 pages