English

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

Quantum Algebra 2011-07-19 v1 Representation Theory

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 Uq(gl(2/1))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.

Keywords

Cite

@article{arxiv.math/0307178,
  title  = {The $q$-boson-fermion realizations of quantum suprealgebra $U_q(gl(2/1))$},
  author = {C. Burdik and O. Navratil},
  journal= {arXiv preprint arXiv:math/0307178},
  year   = {2011}
}

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8 pages