|
Hochschild cohomologies and deformations of the pointwise superproduct
S. E. Konsteina, A. G. Smirnova, I. V. Tyutinab a P. N. Lebedev Physical Institute, Russian Academy of Sciences
b Universidade de São Paulo
Abstract:
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.
Keywords:
deformation quantization, quantum mechanics, superalgebra, Hochschild cohomology.
Received: 24.06.2009
Citation:
S. E. Konstein, A. G. Smirnov, I. V. Tyutin, “Hochschild cohomologies and deformations of the pointwise superproduct”, TMF, 158:3 (2009), 323–346; Theoret. and Math. Phys., 158:3 (2009), 271–292
Linking options:
https://www.mathnet.ru/eng/tmf6317https://doi.org/10.4213/tmf6317 https://www.mathnet.ru/eng/tmf/v158/i3/p323
|
|