Integrable Systems Related to Deformed so(5)

We investigate a family of integrable Hamiltonian systems on Lie-Poisson spaces L+(5) dual to Lie algebras soλ,α(5) being two-parameter deformations of so(5). We integrate corresponding Hamiltonian equations on L+(5) and T∗R⁵ by quadratures as well as discuss their possible physical interpretation....

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2014
Main Authors: Dobrogowska, A., Odzijewicz, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146683
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Integrable Systems Related to Deformed so(5) / A. Dobrogowska, A. Odzijewicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 21 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Dobrogowska, A.
Odzijewicz, A.
author_facet Dobrogowska, A.
Odzijewicz, A.
citation_txt Integrable Systems Related to Deformed so(5) / A. Dobrogowska, A. Odzijewicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 21 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We investigate a family of integrable Hamiltonian systems on Lie-Poisson spaces L+(5) dual to Lie algebras soλ,α(5) being two-parameter deformations of so(5). We integrate corresponding Hamiltonian equations on L+(5) and T∗R⁵ by quadratures as well as discuss their possible physical interpretation.
first_indexed 2025-12-01T23:12:15Z
format Article
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id nasplib_isofts_kiev_ua-123456789-146683
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-01T23:12:15Z
publishDate 2014
publisher Інститут математики НАН України
record_format dspace
spelling Dobrogowska, A.
Odzijewicz, A.
2019-02-10T18:08:57Z
2019-02-10T18:08:57Z
2014
Integrable Systems Related to Deformed so(5) / A. Dobrogowska, A. Odzijewicz // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 21 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 70H06; 37J15; 53D17
DOI:10.3842/SIGMA.2014.056
https://nasplib.isofts.kiev.ua/handle/123456789/146683
We investigate a family of integrable Hamiltonian systems on Lie-Poisson spaces L+(5) dual to Lie algebras soλ,α(5) being two-parameter deformations of so(5). We integrate corresponding Hamiltonian equations on L+(5) and T∗R⁵ by quadratures as well as discuss their possible physical interpretation.
Authors are grateful to the first referee for invaluable remarks which allowed us to avoid mistakes
 and make the paper more readable.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Integrable Systems Related to Deformed so(5)
Article
published earlier
spellingShingle Integrable Systems Related to Deformed so(5)
Dobrogowska, A.
Odzijewicz, A.
title Integrable Systems Related to Deformed so(5)
title_full Integrable Systems Related to Deformed so(5)
title_fullStr Integrable Systems Related to Deformed so(5)
title_full_unstemmed Integrable Systems Related to Deformed so(5)
title_short Integrable Systems Related to Deformed so(5)
title_sort integrable systems related to deformed so(5)
url https://nasplib.isofts.kiev.ua/handle/123456789/146683
work_keys_str_mv AT dobrogowskaa integrablesystemsrelatedtodeformedso5
AT odzijewicza integrablesystemsrelatedtodeformedso5