Fermion Representation of Quantum Group
Minoru Hirayama, Shiori Kamibayashi
Abstract
The spinor representation of the quantum group Uq(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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