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Fock-type representation of the Lie superalgebraA(0, 1)

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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).

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References

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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

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