Theoretical and Mathematical Physics

, Volume 156, Issue 2, pp 1180–1198 | Cite as

Deformations of the central extension of the Poisson superalgebra

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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 
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Copyright information

© MAIK/Nauka 2008

Authors and Affiliations

  1. 1.Lebedev Physical InstituteRASMoscowRussia

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