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

Sei-Qwon Oh  1

1 Department of Mathematics, Chungnam National University, Daejeon 305-764, Korea
Sei-Qwon Oh. Symplectic Submanifolds and Symplectic Ideals. Journal of Lie Theory, Tome 16 (2006) no. 1, pp. 131-138. http://geodesic.mathdoc.fr/item/JOLT_2006_16_1_a10/
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     title = {Symplectic {Submanifolds} and {Symplectic} {Ideals}},
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     year = {2006},
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     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2006_16_1_a10/}
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