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Mathematics  2003 

The $q$-boson-fermion realizations of quantum suprealgebra $U_q(gl(2/1))$

DOI: 10.1134/1.2121910

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Abstract:

We show that our construction of realizations for Lie algebras and quantum algebras can be generalized to quantum superalgebras, too. We study an example of quantum superalgebra $U_q(gl(2/1))$ and give the boson-fermion realization with respect to one pair od q-deformed boson operator and 2 pairs of fermions.

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