One-Parameter Indecomposable and Irreducible Representations of gl(2 | 1) Superalgebra |
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Authors: | Yong-Qing Chen |
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Institution: | (1) Shenzhen Institute of Education, Shenzhen, 518029, People's Republic of China |
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Abstract: | Using inhomogeneous boson–fermion realization, one-parameter indecomposable and irreducible representations of the gl(2 | 1) superalgebra are studied on subspace and quotient spaces of the universal enveloping algebra of Heisenberg–weyl superalgebra. All the finite-dimensional irreducible representations of one-parameter of the gl(2 | 1) superalgebra are naturally obtained as special cases. The parameter has relation to the Hubbard interaction parameter U in the Hubbard model for correlated electrons. |
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