Journal of Lie Theory

no. 1
Symplectic Submanifolds and Symplectic Ideals
Journal of Lie Theory, Volume 16 (2006) no. 1, pp. 131-138
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 $C^\infty(N)$.
DOI: 10.5802/jolt.403
Classification: 17B63, 53D05, 53D17
Keywords: Poisson algebra, symplectic submanifold, symplectic ideal 
@article{JOLT_2006_16_1_a10,
     author = {S.-Q. Oh},
     title = {Symplectic {Submanifolds} and {Symplectic} {Ideals}},
     journal = {Journal of Lie Theory},
     pages = {131--138},
     year = {2006},
     volume = {16},
     number = {1},
     doi = {10.5802/jolt.403},
     zbl = {1118.53053},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.403/}
}
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%0 Journal Article
%A S.-Q. Oh
%T Symplectic Submanifolds and Symplectic Ideals
%J Journal of Lie Theory
%D 2006
%P 131-138
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S.-Q. Oh. Symplectic Submanifolds and Symplectic Ideals. Journal of Lie Theory, Volume 16 (2006) no. 1, pp. 131-138. doi: 10.5802/jolt.403

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