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Deformations of the nondegenerate constant Poisson bracket and antibracket on superspaces of an arbitrary superdimension
Authors:S. E. Konstein  I. V. Tyutin
Affiliation:(1) Lebedev Physical Institute, RAS, Moscow, Russia
Abstract:We consider (anti-)Poisson superalgebras with a constant nondegenerate (anti)bracket realized on smooth Grassmann-valued functions with compact supports in ℝn and find the deformations of these superalgebras and their central extensions. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 155, No. 1, pp. 109–116, April, 2008.
Keywords:Poisson superalgebra  anti-Poisson superalgebra  superbracket deformation  superalgebra cohomology  quantization
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