Post-Lie Magnus Expansion and BCH-Recursion
We identify the Baker-Campbell-Hausdorff recursion driven by a weight λ=1 Rota-Baxter operator with the Magnus expansion relative to the post-Lie structure naturally associated with the corresponding Rota-Baxter algebra. Post-Lie Magnus expansion and BCH-recursion are reviewed before the proof of th...
Збережено в:
| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2022 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211522 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Post-Lie Magnus Expansion and BCH-Recursion. Mahdi J. Hasan Al-Kaabi, Kurusch Ebrahimi-Fard and Dominique Manchon. SIGMA 18 (2022), 023, 16 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862614157531021312 |
|---|---|
| author | Al-Kaabi, Mahdi J. Hasan Ebrahimi-Fard, Kurusch Manchon, Dominique |
| author_facet | Al-Kaabi, Mahdi J. Hasan Ebrahimi-Fard, Kurusch Manchon, Dominique |
| citation_txt | Post-Lie Magnus Expansion and BCH-Recursion. Mahdi J. Hasan Al-Kaabi, Kurusch Ebrahimi-Fard and Dominique Manchon. SIGMA 18 (2022), 023, 16 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We identify the Baker-Campbell-Hausdorff recursion driven by a weight λ=1 Rota-Baxter operator with the Magnus expansion relative to the post-Lie structure naturally associated with the corresponding Rota-Baxter algebra. Post-Lie Magnus expansion and BCH-recursion are reviewed before the proof of the main result.
|
| first_indexed | 2026-03-14T08:19:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211522 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T08:19:59Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Al-Kaabi, Mahdi J. Hasan Ebrahimi-Fard, Kurusch Manchon, Dominique 2026-01-05T12:24:08Z 2022 Post-Lie Magnus Expansion and BCH-Recursion. Mahdi J. Hasan Al-Kaabi, Kurusch Ebrahimi-Fard and Dominique Manchon. SIGMA 18 (2022), 023, 16 pages 1815-0659 2020 Mathematics Subject Classification: 16T05; 16T10; 16T30; 17A30 arXiv:2108.11103 https://nasplib.isofts.kiev.ua/handle/123456789/211522 https://doi.org/10.3842/SIGMA.2022.023 We identify the Baker-Campbell-Hausdorff recursion driven by a weight λ=1 Rota-Baxter operator with the Magnus expansion relative to the post-Lie structure naturally associated with the corresponding Rota-Baxter algebra. Post-Lie Magnus expansion and BCH-recursion are reviewed before the proof of the main result. The first author was funded by the Iraqi Ministry of Higher Education and Scientific Research. He would like to thank the Department of Mathematics at the University of Bergen, Norway, for warm hospitality during a visit in 2021, which was partially supported by the project Pure Mathematics in Norway, funded by the Trond Mohn Foundation and Tromsø Research Foundation. He would also like to thank Mustansiriyah University, College of Science, Mathematics Department, for their support in carrying out this work. The second author is supported by the Research Council of Norway through the project 302831 “Computational Dynamics and Stochastics on Manifolds” (CODYSMA). The third author is supported by Agence Nationale de la Recherche, projet CARPLO ANR20-CE40-0007. We thank the anonymous referees for their remarks and suggestions, which greatly helped us to improve the presentation of the present paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Post-Lie Magnus Expansion and BCH-Recursion Article published earlier |
| spellingShingle | Post-Lie Magnus Expansion and BCH-Recursion Al-Kaabi, Mahdi J. Hasan Ebrahimi-Fard, Kurusch Manchon, Dominique |
| title | Post-Lie Magnus Expansion and BCH-Recursion |
| title_full | Post-Lie Magnus Expansion and BCH-Recursion |
| title_fullStr | Post-Lie Magnus Expansion and BCH-Recursion |
| title_full_unstemmed | Post-Lie Magnus Expansion and BCH-Recursion |
| title_short | Post-Lie Magnus Expansion and BCH-Recursion |
| title_sort | post-lie magnus expansion and bch-recursion |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211522 |
| work_keys_str_mv | AT alkaabimahdijhasan postliemagnusexpansionandbchrecursion AT ebrahimifardkurusch postliemagnusexpansionandbchrecursion AT manchondominique postliemagnusexpansionandbchrecursion |