（余）迷向关系的分解
Decomposition of (co)isotropic relations
摘要：
我们确定了13个同构类的不可分解的Poisson向量空间之间的上迷向关系，并表明，有限维Poisson向量空间之间的每一个上迷向关系可以分解为这些不可分解的倍数的直和。我们还发现了一个13个不变量的列表，每个不变量都是从关系中构造的空间的维度，使得重数的13-向量和不变量的13-向量通过$\mathbb Z$上的可逆矩阵相关。对前辛向量空间之间的迷向关系进行上述分析变得更简单。共各向同性/泊松的情况下，然后遵循一个简单的对偶参数。
英文摘要：
We identify thirteen isomorphism classes of indecomposable coisotropic relations between Poisson vector spaces and show that every coisotropic relation between finite-dimensional Poisson vector spaces may be decomposed as a direct sum of multiples of these indecomposables. We also find a list of thirteen invariants, each of which is the dimension of a space constructed from the relation, such that the 13-vector of multiplicities and the 13-vector of invariants are related by an invertible matrix over $\mathbb Z$. It turns out to be simpler to do the analysis above for isotropic relations between presymplectic vector spaces. The coisotropic/Poisson case then follows by a simple duality argument.
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