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Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids - MaRDI portal

Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids (Q6084388)

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scientific article; zbMATH DE number 7772607
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Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids
scientific article; zbMATH DE number 7772607

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    Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids (English)
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    30 November 2023
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    In the recent paper [Int. Math. Res. Not. 2022, No. 18, 14034--14066 (2022; Zbl 1508.53093)] the authors established a ``quantization commutes with reduction'' result for log-symplectic manifolds. The article under review contains the fundamental ingredients in the proof of this result. Namely, the authors give a generalisation of the Marsden-Weinstein reduction theorem as well as the Darboux-Moser-Weinstein theorem. They give these generalisations in the context of symplectic Lie algebroids. Log symplectic manifolds are instances of structures as such.
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    symplectic Lie algebroids
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    Marsden-Weinstein reduction
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    Darboux-Moser-Weinstein theorem
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