Reduction of Poisson manifolds with Hamiltonian Lie algebroids

Autor:	Hirota, Yuji, Ikeda, Noriaki
Rok vydání:	2024
Předmět:	Mathematics - Symplectic Geometry Mathematics - Differential Geometry 53D20 (Primary) 53D17 70G45 (Secondary)
Druh dokumentu:	Working Paper
Popis:	Reduction theorem for Poisson manifolds with Hamiltonian Lie algebroids is presented. The notion of compatibility of a momentum section is introduced to the category of Hamiltonian Lie algebroids over Poisson manifolds. It is shown that a compatible momentum section is a Lie algebra homomorphism, and then the quotient space of the zero level set of a compatible momentum section proves to be a Poisson manifold. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.10969 Zobrazit plný text záznamu View this record from Arxiv