Courant Algebroids. A Short History

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dc.contributor.authorKosmann-Schwarzbach, Y.
dc.date.accessioned2019-02-19T18:58:23Z
dc.date.available2019-02-19T18:58:23Z
dc.date.issued2013
dc.description.abstractThe 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.sponsorshipThis 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.identifier.citationCourant 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 01A65; 53D17; 17B62; 17B66; 22A22; 53C15
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2013.014
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149218
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleCourant Algebroids. A Short Historyuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік