
Journal of Lie Theory 16 (2006), No. 1, 131138 Copyright Heldermann Verlag 2006 Symplectic Submanifolds and Symplectic Ideals SeiQwon Oh Department of Mathematics, Chungnam National University, Daejeon 305764, Korea sqoh@cnu.ac.kr [Abstractpdf] 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 $C^\infty(N)$. Keywords: Poisson algebra, symplectic submanifold, symplectic ideal. MSC: 17B63; 53D05, 53D17 [ Fulltextpdf (167 KB)] for subscribers only. 