Inhomogeneous Differential Realization, Boson-Fermion Realization of OSP(2,1) Superalgebra and Its Representations

(整期优先)网络出版时间:2000-02-12
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<正>HomogeneousandinhornogeneousdifferentialrealizationsoftheOSP(2,1)superalgebraonthespacesofhomogeneousandinhomogeneouspolynomialsandthecorrespondingboson-fermioiirealizationsarestudied.ThenewindecomposableandirreduciblerepresentationsoftheOSP(2,1)aregivenonsubspacesandquotientspacesoftheuniversalenvelopingalgebrasofHeisenberg-Weylsuperalgebra.AllthefinitedimensionalirreduciblerepresentationoftheOSP(2,1)superalgebraisnaturallyobtainedasspecialcases.