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Fermion Representation of Quantum Group

q-alg 2009-10-30 v3 Quantum Algebra

Abstract

The spinor representation of the quantum group Uq(su(N))U_q(su(N)) is given in terms of a set of fermion creation and annihilation operators. It is shown that the qq-fermion operators introduced earlier can be identifi ed with the conventional fermion operators. Algebra homomorphisms mapping the fermion operators to their t ensor products are discussed. The relation of the coproduct of the quantum group to the above algebra homo morphisms is obtained.

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Cite

@article{arxiv.q-alg/9612024,
  title  = {Fermion Representation of Quantum Group},
  author = {Minoru Hirayama and Shiori Kamibayashi},
  journal= {arXiv preprint arXiv:q-alg/9612024},
  year   = {2009}
}

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