Geodesic
Obstructions to the Equivalence of Poisson Structures Near a Symplectic Leaf of Semisimple and Compact Type
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 2, pp. 81-84

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

We describe cohomological obstructions to the equivalence of Poisson structures around a symplectic leaf of semisimple and compact type. The result is based on Conn's linearization theorem and the theory of Poisson coupling.
Mots-clés : Poisson isomorphism, coupling Poisson structures
Keywords: symplectic leaf, Lie algebra. 
@article{FAA_2008_42_2_a10,
     author = {Yu. M. Vorob'ev},
     title = {Obstructions to the {Equivalence} of {Poisson} {Structures} {Near} a {Symplectic} {Leaf} of {Semisimple} and {Compact} {Type}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {81--84},
     publisher = {mathdoc},
     volume = {42},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2008_42_2_a10/}
}
TY  - JOUR
AU  - Yu. M. Vorob'ev
TI  - Obstructions to the Equivalence of Poisson Structures Near a Symplectic Leaf of Semisimple and Compact Type
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2008
SP  - 81
EP  - 84
VL  - 42
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2008_42_2_a10/
LA  - ru
ID  - FAA_2008_42_2_a10
ER  - 
%0 Journal Article
%A Yu. M. Vorob'ev
%T Obstructions to the Equivalence of Poisson Structures Near a Symplectic Leaf of Semisimple and Compact Type
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2008
%P 81-84
%V 42
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2008_42_2_a10/
%G ru
%F FAA_2008_42_2_a10
Yu. M. Vorob'ev. Obstructions to the Equivalence of Poisson Structures Near a Symplectic Leaf of Semisimple and Compact Type. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 2, pp. 81-84. http://geodesic.mathdoc.fr/item/FAA_2008_42_2_a10/