Abstract
A Fock space of two pairs of generalized creation and annihilation operators is constructed. These operators belong to the odd part of the Lie superalgebraA(0, 1) and generate the whole algebra. The creation and annihilation operators define in the Fock space an infinite-dimensional irreducible representation of the algebraA(0, 1).
Similar content being viewed by others
References
Gautcher, A. C., and Palev, T. D. (1978). Preprint JINR P2-11941.
Green, H. S. (1953).Physical Review,90, 270.
Kac, Y. G. (1972).Advances in Mathematics,26, 8.
Milnor, J., and Moore, J. (1965).Annals of Mathematics,81, 211.
Palev, T. D. (1978). Preprint JINR E2-11905, Dubna.
Palev, T. D. (1978). Preprint JINR E2-11905, Dubna.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Palev, T.D. Fock-type representation of the Lie superalgebraA(0, 1). Int J Theor Phys 17, 985–992 (1978). https://doi.org/10.1007/BF00678425
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00678425