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Fermion Representation of Quantum Group

Minoru Hirayama·Shiori Kamibayashi
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Abstract

The spinor representation of the quantum group $U_q(su(N))$ is given in terms of a set of fermion creation and annihilation operators. It is shown that the $q$-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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BibTeXRIS

Minoru Hirayama, Shiori Kamibayashi. 1997-03-19. Fermion Representation of Quantum Group. https://doi.org/10.1143/ptp.97.691

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