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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2015 |
| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2015
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| Онлайн доступ: | https://nasplib.isofts.kiev.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| _version_ | 1862559183079997440 |
|---|---|
| author | Ebrahimi-Fard, K. Lundervold, A. Mencattini, I. Munthe-Kaas, H.Z. |
| author_facet | Ebrahimi-Fard, K. Lundervold, A. Mencattini, I. Munthe-Kaas, H.Z. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-11-25T22:46:44Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147113 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T22:46:44Z |
| publishDate | 2015 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ebrahimi-Fard, K. Lundervold, A. Mencattini, I. Munthe-Kaas, H.Z. 2019-02-13T16:52:48Z 2019-02-13T16:52:48Z 2015 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 https://nasplib.isofts.kiev.ua/handle/123456789/147113 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. We acknowledge support from ICMAT and the Severo Ochoa Excelencia Program, as well as the
 NILS-Abel project 010-ABEL-CM-2014A, and the SPIRIT project RCN:231632 of the Norwegian
 Research Council. The first author is supported by a Ram´on y Cajal research grant from
 the Spanish government, and acknowledges support from the Spanish government under project
 MTM2013-46553-C3-2-P. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Post-Lie Algebras and Isospectral Flows Article published earlier |
| spellingShingle | Post-Lie Algebras and Isospectral Flows Ebrahimi-Fard, K. Lundervold, A. Mencattini, I. Munthe-Kaas, H.Z. |
| title | 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_short | Post-Lie Algebras and Isospectral Flows |
| title_sort | post-lie algebras and isospectral flows |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147113 |
| work_keys_str_mv | AT ebrahimifardk postliealgebrasandisospectralflows AT lundervolda postliealgebrasandisospectralflows AT mencattinii postliealgebrasandisospectralflows AT munthekaashz postliealgebrasandisospectralflows |