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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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2013-02-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2013.014 |
| _version_ | 1829111249294589952 |
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| author | Yvette Kosmann-Schwarzbach |
| author_facet | Yvette Kosmann-Schwarzbach |
| author_sort | Yvette Kosmann-Schwarzbach |
| collection | DOAJ |
| 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 | 2024-12-12T12:13:51Z |
| format | Article |
| id | doaj.art-991d65ddac064d608f44907979047b8e |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-12T12:13:51Z |
| publishDate | 2013-02-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-991d65ddac064d608f44907979047b8e2022-12-22T00:24:49ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592013-02-019014Courant Algebroids. A Short HistoryYvette Kosmann-SchwarzbachThe 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.http://dx.doi.org/10.3842/SIGMA.2013.014Courant algebroidDorfman bracketLie algebroidLie bialgebroidgeneralized geometryDirac structureLoday algebraLeibniz algebraderived bracket |
| spellingShingle | Yvette Kosmann-Schwarzbach Courant Algebroids. A Short History Symmetry, Integrability and Geometry: Methods and Applications Courant algebroid Dorfman bracket Lie algebroid Lie bialgebroid generalized geometry Dirac structure Loday algebra Leibniz algebra derived bracket |
| 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 |
| topic | Courant algebroid Dorfman bracket Lie algebroid Lie bialgebroid generalized geometry Dirac structure Loday algebra Leibniz algebra derived bracket |
| url | http://dx.doi.org/10.3842/SIGMA.2013.014 |
| work_keys_str_mv | AT yvettekosmannschwarzbach courantalgebroidsashorthistory |