Lie groups of Poisson diffeomorphisms

IF 0.6 3区 数学 Q3 MATHEMATICS
Wilmer,Smilde
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引用次数: 0

Abstract

By considering suitable Poisson groupoids, we develop an approach to obtain Lie group structures on (subgroups of) the Poisson diffeomorphism groups of various classes of Poisson manifolds. As applications, we show that the Poisson diffeomorphism groups of (normal-crossing) log-symplectic, elliptic symplectic, scattering-symplectic and cosymplectic manifolds are regular infinite-dimensional Lie groups.
泊松差分变形的李群
通过考虑合适的泊松群,我们开发了一种方法来获得各类泊松流形的泊松差形群(子群)上的李群结构。作为应用,我们证明了(正交)对数交映、椭圆交映、散射交映和余交映流形的泊松差分变形群是正则无穷维李群。
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
0
审稿时长
>12 weeks
期刊介绍: Publishes high quality papers on all aspects of symplectic geometry, with its deep roots in mathematics, going back to Huygens’ study of optics and to the Hamilton Jacobi formulation of mechanics. Nearly all branches of mathematics are treated, including many parts of dynamical systems, representation theory, combinatorics, packing problems, algebraic geometry, and differential topology.
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