Skip to main content
SpringerLink
Log in

One-Parameter Indecomposable and Irreducible Representations of gl(2 | 1) Superalgebra

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  • Brachen, A. J., Gould, M. D., Links, J. R., and Zhang, Y. Z. (1995). Physical Review Letters 74, 2768.

    Google Scholar 

  • Chen, Y. Q. (2001). International Journal of Theoretical Physics 40, 1249.

    Google Scholar 

  • Dirac, P. A. M. (1984). International Journal of Theoretical Physics 23, 677.

    Google Scholar 

  • Essler, F. H. L. and Korepin, V. E. (1992). Physical Review B 46, 9147.

    Google Scholar 

  • Essler, F. H. L. and Korepin, V. E. (1994). Exactly Solvable Models of Strongly Correlated Electrons, World Scientific, Singapore.

    Google Scholar 

  • Essler, F. H. L., Korepin, V. E., and Schoutens, K. (1992). Physical Review Letters 68, 2960.

    Google Scholar 

  • Essler, F. H. L., Korepin, V. E., and Schoutens, K. (1993). Physical Review Letters 70, 73.

    Google Scholar 

  • Gruber, B., Santhanam, T. S., and Wilson, R. (1984). Journal of Mathematical Physics 25, 1253.

    Google Scholar 

  • Gruber, B. and Lenczewski, R. (1983). Journal of Physics A: Mathematical and General 16, 3703.

    Google Scholar 

  • Lenczewski, R. and Gruber, B. (1986). Journal of Physics A: Mathematical and General 19, 1.

    Google Scholar 

  • Sakar, S. (1990). Journal of Physics A 23, L 409.

    Google Scholar 

  • Sakar, S. (1991). Journal of Physics A 24, 1137.

    Google Scholar 

  • Sun, C. P. (1987). Journal of Physics A: Mathematical and General 20, 5823.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shenzhen Institute of Education, Shenzhen, 518029, People's Republic of China

    Yong-Qing Chen

Authors
  1. Yong-Qing Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, YQ. One-Parameter Indecomposable and Irreducible Representations of gl(2 | 1) Superalgebra. International Journal of Theoretical Physics 40, 1249–1258 (2001). https://doi.org/10.1023/A:1017575604884

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1017575604884

Keywords

Search

Navigation