Lie理论中一类Poisson结构的构造
发布时间：2018-11-09 14:19
【摘要】：Poisson几何是Hamilton力学及辛流形紧化自然的研究框架.本文介绍了一类与Lie理论有关的Poisson流形.这类Poisson流形的构造来自于量子群,并与分次扩张Poisson代数有着紧密的联系.
[Abstract]:Poisson geometry is the research framework of Hamilton mechanics and compaction nature of symplectic manifold. In this paper, we introduce a class of Poisson manifolds related to Lie theory. The construction of these Poisson manifolds is derived from quantum groups and is closely related to graded extended Poisson algebras.
【作者单位】： 香港大学数学系;
【基金】：香港研究资助局(批准号:GRF HKU 17304415)资助项目
【分类号】：O152.5
，
本文编号：2320658
[Abstract]:Poisson geometry is the research framework of Hamilton mechanics and compaction nature of symplectic manifold. In this paper, we introduce a class of Poisson manifolds related to Lie theory. The construction of these Poisson manifolds is derived from quantum groups and is closely related to graded extended Poisson algebras.
【作者单位】： 香港大学数学系;
【基金】：香港研究资助局(批准号:GRF HKU 17304415)资助项目
【分类号】：O152.5
，
本文编号：2320658
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