Geodesic
Deformations of the~central extension of the~Poisson superalgebra
Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 2, pp. 250-269

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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.
Keywords: Grassmann algebra, central extension, cohomology, deformation, $*$-commutator.
Mots-clés : Poisson superalgebra, quantization 
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     author = {S. E. Konstein and I. V. Tyutin},
     title = {Deformations of the~central extension of {the~Poisson} superalgebra},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {250--269},
     publisher = {mathdoc},
     volume = {156},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_156_2_a7/}
}
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S. E. Konstein; I. V. Tyutin. Deformations of the~central extension of the~Poisson superalgebra. Teoretičeskaâ i matematičeskaâ fizika, Tome 156 (2008) no. 2, pp. 250-269. http://geodesic.mathdoc.fr/item/TMF_2008_156_2_a7/