Abstract
It is shown that the relations which define the para-Fermi creation and annihilation operatorsb i ,a i (i = 1,...,n) can be considered as commutation relations of the algebra 0(n, n+1). It turns out that every representation of 0(n, n+1) determines a representation of the para-Fermi algebra and vice versa.
Similar content being viewed by others
References
Doebner, H. D. and Palev, T. D. (1970). Realizations of Lie Algebras through Rational Functions of Canonical Variables. Lecture delivered at the Universitätswochen für Kernphysik, Schladming or ICTP, Trieste, IC/70/18.
Green, H. S. (1953).Physical Review,90, 270.
Helgason, S. (1962).Differential Geometry and Symmetric Spaces. Academic Press, New York.
Pontrjagin, L. S. (1958).Topological Groups. Princeton University Press, Princeton.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Palev, T.D. An isomorphism between the Para-Fermi algebra and the algebra O(n,n+1). Int J Theor Phys 5, 71–75 (1972). https://doi.org/10.1007/BF00671654
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00671654