李代数的辛约化和一个Darboux-Moser-Weinstein定理

Pub Date : 2023-11-20 DOI:10.4310/pamq.2023.v19.n4.a13
Yi Lin, Yiannis Loizides, Reyer Sjamaar, Yanli Song
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引用次数: 2

摘要

将Marsden-Weinstein约简定理和Darboux-Moser-Weinstein定理推广到辛李代数。我们还得到了辛李代数群的一个共各向同性嵌入定理。
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Symplectic reduction and a Darboux–Moser–Weinstein theorem for Lie algebroids
We extend the Marsden–Weinstein reduction theorem and the Darboux–Moser–Weinstein theorem to symplectic Lie algebroids. We also obtain a coisotropic embedding theorem for symplectic Lie algebroids.
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