Symplectic Submanifolds and Symplectic Ideals
Journal of Lie theory, Tome 16 (2006) no. 1, pp. 131-138
Voir la notice de l'article provenant de la source Heldermann Verlag
Let $N$ be a Poisson manifold with global coordinate functions. We define a symplectic ideal of the ring $C^\infty(N)$ of smooth functions and investigate a relationship between symplectic submanifolds of $N$ and symplectic ideals of $C^\infty(N)$.
Classification :
17B63, 53D05, 53D17
Mots-clés : Poisson algebra, symplectic submanifold, symplectic ideal
Mots-clés : Poisson algebra, symplectic submanifold, symplectic ideal
@article{JLT_2006_16_1_JLT_2006_16_1_a10,
author = {S.-Q. Oh },
title = {Symplectic {Submanifolds} and {Symplectic} {Ideals}},
journal = {Journal of Lie theory},
pages = {131--138},
publisher = {mathdoc},
volume = {16},
number = {1},
year = {2006},
url = {http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a10/}
}
S.-Q. Oh . Symplectic Submanifolds and Symplectic Ideals. Journal of Lie theory, Tome 16 (2006) no. 1, pp. 131-138. http://geodesic.mathdoc.fr/item/JLT_2006_16_1_JLT_2006_16_1_a10/