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An isomorphism between the Para-Fermi algebra and the algebra O(n,n+1)

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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.

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References

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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

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  • DOI: https://doi.org/10.1007/BF00671654

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