Courant Algebroids. A Short History
The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a ''double'' for Lie bialgebroids led to the definition of Courant algebroids. We recount the emergence of these concept...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2013 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2013
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149218 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Courant Algebroids. A Short History / Y. Kosmann-Schwarzbach // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 55 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862735186519654400 |
|---|---|
| author | Kosmann-Schwarzbach, Y. |
| author_facet | Kosmann-Schwarzbach, Y. |
| citation_txt | Courant Algebroids. A Short History / Y. Kosmann-Schwarzbach // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 55 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a ''double'' for Lie bialgebroids led to the definition of Courant algebroids. We recount the emergence of these concepts.
|
| first_indexed | 2025-12-07T19:47:17Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149218 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:47:17Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kosmann-Schwarzbach, Y. 2019-02-19T18:58:23Z 2019-02-19T18:58:23Z 2013 Courant Algebroids. A Short History / Y. Kosmann-Schwarzbach // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 55 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 01A65; 53D17; 17B62; 17B66; 22A22; 53C15 DOI: http://dx.doi.org/10.3842/SIGMA.2013.014 https://nasplib.isofts.kiev.ua/handle/123456789/149218 The search for a geometric interpretation of the constrained brackets of Dirac led to the definition of the Courant bracket. The search for the right notion of a ''double'' for Lie bialgebroids led to the definition of Courant algebroids. We recount the emergence of these concepts. This paper is a contribution to the Special Issue “Symmetries of Dif ferential Equations: Frames, Invariants
 and Applications”. The full collection is available at http://www.emis.de/journals/SIGMA/SDE2012.html.
 I wish to thank Alan Weinstein as well as Dmitry Roytenberg and Pavol Severa for their very ˇ
 useful correspondence and discussions concerning their work on Courant algebroids. Thanks are
 also due to Ted Voronov and to the referees for their constructive remarks that were incorporated
 in the present version. This short history was begun as a memorandum written for Shlomo Sternberg, whom I thank for giving me the incentive to delve into some near-contemporary history. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Courant Algebroids. A Short History Article published earlier |
| spellingShingle | Courant Algebroids. A Short History Kosmann-Schwarzbach, Y. |
| title | Courant Algebroids. A Short History |
| title_full | Courant Algebroids. A Short History |
| title_fullStr | Courant Algebroids. A Short History |
| title_full_unstemmed | Courant Algebroids. A Short History |
| title_short | Courant Algebroids. A Short History |
| title_sort | courant algebroids. a short history |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149218 |
| work_keys_str_mv | AT kosmannschwarzbachy courantalgebroidsashorthistory |