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

Yi Lin; Yiannis Loizides; Reyer Sjamaar; Yanli Song

doi:10.4310/PAMQ.2023.v19.n4.a13

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

Yi Lin
, Yiannis Loizides
, Reyer Sjamaar
, Yanli Song

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	2067-2131
Number of pages	65
Journal	Pure and Applied Mathematics Quarterly
Volume	19
Issue number	4
DOIs	https://doi.org/10.4310/PAMQ.2023.v19.n4.a13
State	Published - Jan 1 2023

Scopus Subject Areas

General Mathematics

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10.4310/PAMQ.2023.v19.n4.a13

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title = "Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids",

abstract = "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.",

author = "Yi Lin and Yiannis Loizides and Reyer Sjamaar and Yanli Song",

year = "2023",

month = jan,

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doi = "10.4310/PAMQ.2023.v19.n4.a13",

language = "English",

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journal = "Pure and Applied Mathematics Quarterly",

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T1 - Symplectic reduction and a Darboux-Moser-Weinstein theorem for Lie algebroids

AU - Lin, Yi

AU - Loizides, Yiannis

AU - Sjamaar, Reyer

AU - Song, Yanli

PY - 2023/1/1

Y1 - 2023/1/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85177578041

U2 - 10.4310/PAMQ.2023.v19.n4.a13

DO - 10.4310/PAMQ.2023.v19.n4.a13

M3 - Article

AN - SCOPUS:85177578041

SN - 1558-8599

VL - 19

SP - 2067

EP - 2131

JO - Pure and Applied Mathematics Quarterly

JF - Pure and Applied Mathematics Quarterly

IS - 4

ER -

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

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