caa a22 4500 467910979 CHVBK 20180406152849.0 cr unu---uuuuu 170328e20060801xx s 000 0 eng 10.1007/s11232-006-0097-2 doi (NATIONALLICENCE)springer-10.1007/s11232-006-0097-2 General form of the deformation of the Poisson superbracket [Elektronische Daten] [S. Konstein, A. Smirnov, I. Tyutin] All continuous formal deformations of the Poisson algebra realized on Grassmann-valued compactly supported smooth functions on ℝ2n with 2n ≥ 4 are found up to an equivalence transformation. We show that in the algebras considered, there exist additional deformations that di.er from the Moyal bracket. Springer Science+Business Media, Inc., 2006 Grassmann algebra nationallicence Poisson superalgebra nationallicence central extension nationallicence cohomologies nationallicence *-commutator nationallicence deformation nationallicence quantization nationallicence Konstein S. Lebedev Physical Institute, RAS, Moscow, Russia aut Smirnov A. Lebedev Physical Institute, RAS, Moscow, Russia aut Tyutin I. Lebedev Physical Institute, RAS, Moscow, Russia aut Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 148/2(2006-08-01), 1011-1024 0040-5779 148:2<1011 2006 148 11232 https://doi.org/10.1007/s11232-006-0097-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11232-006-0097-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Konstein S. Lebedev Physical Institute, RAS, Moscow, Russia aut NATIONALLICENCE 700 1- Smirnov A. Lebedev Physical Institute, RAS, Moscow, Russia aut NATIONALLICENCE 700 1- Tyutin I. Lebedev Physical Institute, RAS, Moscow, Russia aut NATIONALLICENCE 773 0- Theoretical and Mathematical Physics Kluwer Academic Publishers-Consultants Bureau 148/2(2006-08-01), 1011-1024 0040-5779 148:2<1011 2006 148 11232 Metadata rights reserved Springer special CC-BY-NC licence nationallicence SWISSBIB 45756802X BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer