Post-Lie Algebras and Isospectral Flows
In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution of a post-Lie Magnus-type differential equation.
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| Дата: | 2015 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147113 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Post-Lie Algebras and Isospectral Flows / K. Ebrahimi-Fard, A. Lundervold, I. Mencattini, H.Z. Munthe-Kaas // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 22 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147113 |
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irk-123456789-1471132019-02-14T01:26:24Z Post-Lie Algebras and Isospectral Flows Ebrahimi-Fard, K. Lundervold, A. Mencattini, I. Munthe-Kaas, H.Z. In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution of a post-Lie Magnus-type differential equation. 2015 Article Post-Lie Algebras and Isospectral Flows / K. Ebrahimi-Fard, A. Lundervold, I. Mencattini, H.Z. Munthe-Kaas // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 22 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 70H06; 17D99; 37J35 DOI:10.3842/SIGMA.2015.093 http://dspace.nbuv.gov.ua/handle/123456789/147113 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution of a post-Lie Magnus-type differential equation. |
| format |
Article |
| author |
Ebrahimi-Fard, K. Lundervold, A. Mencattini, I. Munthe-Kaas, H.Z. |
| spellingShingle |
Ebrahimi-Fard, K. Lundervold, A. Mencattini, I. Munthe-Kaas, H.Z. Post-Lie Algebras and Isospectral Flows Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Ebrahimi-Fard, K. Lundervold, A. Mencattini, I. Munthe-Kaas, H.Z. |
| author_sort |
Ebrahimi-Fard, K. |
| title |
Post-Lie Algebras and Isospectral Flows |
| title_short |
Post-Lie Algebras and Isospectral Flows |
| title_full |
Post-Lie Algebras and Isospectral Flows |
| title_fullStr |
Post-Lie Algebras and Isospectral Flows |
| title_full_unstemmed |
Post-Lie Algebras and Isospectral Flows |
| title_sort |
post-lie algebras and isospectral flows |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147113 |
| citation_txt |
Post-Lie Algebras and Isospectral Flows / K. Ebrahimi-Fard, A. Lundervold, I. Mencattini, H.Z. Munthe-Kaas // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 22 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
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2025-07-11T01:23:27Z |
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2025-07-11T01:23:27Z |
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