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Fock-type representation of the Lie superalgebraA(0, 1)
Authors:T D Palev
Institution:(1) Joint Institute for Nuclear Research, Laboratory of Theoretical Physics, USA;(2) Present address: Institute for Nuclear Research and Nuclear Energy, Boul. Lenin 72, 1113 Sofia, Bulgaria
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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