Geodesic
Hochschild cohomologies and deformations of the~pointwise superproduct
Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 3, pp. 323-346

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We consider the associative superalgebra of smooth compactly supported functions on $\mathbb R^n$ taking values in a Grassmann algebra. We find the lower Hochschild cohomologies and also the deformations of this superalgebra under certain additional conditions.
Mots-clés : deformation quantization
Keywords: quantum mechanics, superalgebra, Hochschild cohomology. 
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     author = {S. E. Konstein and A. G. Smirnov and I. V. Tyutin},
     title = {Hochschild cohomologies and deformations of the~pointwise superproduct},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {323--346},
     publisher = {mathdoc},
     volume = {158},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_158_3_a0/}
}
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S. E. Konstein; A. G. Smirnov; I. V. Tyutin. Hochschild cohomologies and deformations of the~pointwise superproduct. Teoretičeskaâ i matematičeskaâ fizika, Tome 158 (2009) no. 3, pp. 323-346. http://geodesic.mathdoc.fr/item/TMF_2009_158_3_a0/