Abstract
Using second-order realisations of Lie algebras by means of creation and annihilation parafield operators the generators of the para-Fermi algebras are expressed as high-order polynomials of para-Bose or para-Fermi creation and annihilation operators.
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References
Kademova, K. V. (1970a). Realisations of Lie Algebras with Parafield Operators.Nucl. Phys. Vol. B15, 350.
Kademova, K. V. (1970b). Realisations of the Representations of the para-Fermi Algebra in the Fock Space of Bose Operators: Part I.International Journal of Theoretical Physics, Vol. 3, No. 2, p. 109.
Kademova, K. V. and Kálnay, A. J. (1970). Realisations of the Representations of para-Fermi Algebra in Fock Space of Bose Operators: Part II.International Journal of Theoretical Physics, Vol. 3, No. 2, p. 115.
Kademova, K. V. and Kraev, M. M. (1970). Realisations of the Representations of para-Fermi Algebra-Part III: Fock Space of Fermi Operators.International Journal of Theoretical Physics, Vol. 3, No. 3, p. 185.
Kademova, K. V. and Palev, T. D. (1970a). Second-order Realisations of Lie Algebras with Parafield Operators. (To be published.)
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Kademova, K. V. and Palev, T. D. (1970b). Lie Algebras and Quasifield Operators. (To be published.)
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Kademova, K.V. High-order realisations of the para-Fermi algebra with parafield operators. Int J Theor Phys 3, 295–298 (1970). https://doi.org/10.1007/BF00669757
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DOI: https://doi.org/10.1007/BF00669757