Courant Algebroids. A Short History

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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dc.contributor.author	Kosmann-Schwarzbach, Y.
dc.date.accessioned	2019-02-19T18:58:23Z
dc.date.available	2019-02-19T18:58:23Z
dc.date.issued	2013
dc.identifier.citation	Courant Algebroids. A Short History / Y. Kosmann-Schwarzbach // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 55 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 01A65; 53D17; 17B62; 17B66; 22A22; 53C15
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.014
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149218
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Courant Algebroids. A Short History	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA