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
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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.
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},
year = {2008},
volume = {42},
number = {2},
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 UR - http://geodesic.mathdoc.fr/item/FAA_2008_42_2_a10/ LA - ru ID - FAA_2008_42_2_a10 ER -
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/
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