Fermion Representation of Quantum Group | Zendy

Minoru Hirayama | Zendy; S. Kamibayashi | Zendy

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Fermion Representation of Quantum Group

Author(s) -

Minoru Hirayama,

S. Kamibayashi

Publication year - 1997

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.97.691

Subject(s) - physics , creation and annihilation operators , homomorphism , fermion , group (periodic table) , quantum group , algebra over a field , spinor , tensor (intrinsic definition) , coproduct , mathematical physics , quantum , theoretical physics , pure mathematics , quantum mechanics , mathematics

The spinor representation of the quantum group $U_q(su(N))$ is given in termsof a set of fermion creation and annihilation operators. It is shown that the$q$-fermion operators introduced earlier can be identifi ed with theconventional fermion operators. Algebra homomorphisms mapping the fermionoperators to their t ensor products are discussed. The relation of thecoproduct of the quantum group to the above algebra homo morphisms is obtained.Comment: LaTex,15Page

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