On gauge Poisson brackets with prescribed symmetry

M. Avendaño-Camacho; J. C. Ruíz-Pantaleón; Yu Vorobiev

doi:10.1088/1751-8121/ad6c00

On gauge Poisson brackets with prescribed symmetry

M. Avendaño-Camacho, J. C. Ruíz-Pantaleón^*, Yu Vorobiev

^*Corresponding author for this work

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

Abstract

In the context of averaging method, we describe a reconstruction of invariant connection-dependent Poisson structures from canonical actions of compact Lie groups on fibered phase spaces. Some symmetry properties of Wong’s type equations are derived from the main results.

Original language	English
Article number	355203
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	57
Issue number	35
DOIs	https://doi.org/10.1088/1751-8121/ad6c00
State	Published - 20 Sep 2024

Bibliographical note

Publisher Copyright:
© 2024 IOP Publishing Ltd. All rights, including for text and data mining, AI training, and similar technologies, are reserved.

Keywords

Hamiltonian systems
Lie group actions
Poisson brackets
Wong’s equations
averaging method
connections

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10.1088/1751-8121/ad6c00

Cite this

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AU - Avendaño-Camacho, M.

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AU - Vorobiev, Yu

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KW - Hamiltonian systems

KW - Lie group actions

KW - Poisson brackets

KW - Wong’s equations

KW - averaging method

KW - connections

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On gauge Poisson brackets with prescribed symmetry

Abstract

Bibliographical note

Keywords

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