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

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

2003-07-12

arxiv.org/abs/math/0307178v1

Phys.Atom.Nucl.68:1643-1645,2005; Yad.Fiz.68:1707-1709,2005

Mathematics

Quantum Algebra

8 pages

Scientific paper

10.1134/1.2121910

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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