Geodesic
Deformations of the nondegenerate constant Poisson bracket and
Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 109-116

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider {(}anti-{\rm)}Poisson superalgebras with a constant nondegenerate {\rm(}anti{\rm)}bracket realized on smooth Grassmann-valued functions with compact supports in $\mathbb{R}^n$ and find the deformations of these superalgebras and their central extensions.
Mots-clés : Poisson superalgebra, anti-Poisson superalgebra, quantization.
Keywords: superbracket deformation, superalgebra cohomology 
@article{TMF_2008_155_1_a8,
     author = {S. E. Konstein and I. V. Tyutin},
     title = {Deformations of the nondegenerate constant {Poisson} bracket and},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {109--116},
     publisher = {mathdoc},
     volume = {155},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_155_1_a8/}
}
TY  - JOUR
AU  - S. E. Konstein
AU  - I. V. Tyutin
TI  - Deformations of the nondegenerate constant Poisson bracket and
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2008
SP  - 109
EP  - 116
VL  - 155
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_2008_155_1_a8/
LA  - ru
ID  - TMF_2008_155_1_a8
ER  - 
%0 Journal Article
%A S. E. Konstein
%A I. V. Tyutin
%T Deformations of the nondegenerate constant Poisson bracket and
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2008
%P 109-116
%V 155
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_2008_155_1_a8/
%G ru
%F TMF_2008_155_1_a8
S. E. Konstein; I. V. Tyutin. Deformations of the nondegenerate constant Poisson bracket and. Teoretičeskaâ i matematičeskaâ fizika, Tome 155 (2008) no. 1, pp. 109-116. http://geodesic.mathdoc.fr/item/TMF_2008_155_1_a8/