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

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

Resumen

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.

Idioma original	Inglés
Número de artículo	355203
Publicación	Journal of Physics A: Mathematical and Theoretical
Volumen	57
N.º	35
DOI	https://doi.org/10.1088/1751-8121/ad6c00
Estado	Publicada - 20 sep. 2024

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

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title = "On gauge Poisson brackets with prescribed symmetry",

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{\textquoteright}s type equations are derived from the main results.",

keywords = "Hamiltonian systems, Lie group actions, Poisson brackets, Wong{\textquoteright}s equations, averaging method, connections",

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AU - Avendaño-Camacho, M.

AU - Ruíz-Pantaleón, J. C.

AU - Vorobiev, Yu

PY - 2024/9/20

Y1 - 2024/9/20

N2 - 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.

AB - 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.

KW - Hamiltonian systems

KW - Lie group actions

KW - Poisson brackets

KW - Wong’s equations

KW - averaging method

KW - connections

UR - https://www.scopus.com/pages/publications/85202027057

U2 - 10.1088/1751-8121/ad6c00

DO - 10.1088/1751-8121/ad6c00

M3 - Artículo

AN - SCOPUS:85202027057

SN - 1751-8113

VL - 57

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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On gauge Poisson brackets with prescribed symmetry

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