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Deformations of the central extension of the Poisson superalgebra
Authors:S. E. Konstein  I. V. Tyutin
Affiliation:(1) Lebedev Physical Institute, RAS, Moscow, Russia
Abstract:The Poisson superalgebra realized on smooth Grassmann-valued functions with compact support has a central extension at some values of the superdimension. We find formal deformations of these central extensions. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 156, No. 2, pp. 250–269, August, 2008.
Keywords:Grassmann algebra  Poisson superalgebra  central extension  cohomology  deformation  quantization  *-commutator
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