S. E. Konstein, I. V. Tyutin, “Deformations of the central extension of the Poisson superalgebra”, TMF, 2008, Volume 156, Number 2,Pages <nobr>250

Deformations of the central extension of the Poisson superalgebra

S. E. Konstein, I. V. Tyutin

P. N. Lebedev Physical Institute, Russian Academy of Sciences

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.

Keywords: Grassmann algebra, Poisson superalgebra, central extension, cohomology, deformation, quantization, $*$-commutator.

Received: 24.04.2007

DOI: 10.4213/tmf6245