Double Lie algebroids and the double of a Lie bialgebroid

Simple item page
dc.creatorMackenzie, K. C. H.
dc.date1998-08-17
dc.date.accessioned2026-07-07T05:25:45Z
dc.date.available2026-07-07T05:25:45Z
dc.descriptionWe define a general notion of abstract double Lie algebroid. We show (1) that the double Lie algebroid of a double Lie groupoid is a double Lie algebroid in this sense; (2) that the double cotangent constructed from Lie algebroid structures on a vector bundle A and its dual A* is a double Lie algebroid if and only if (A, A*) is a Lie bialgebroid; (3) that a vacant double Lie algebroid structure is equivalent to a matched pair structure on the side Lie algebroids.
dc.description19 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9808081
dc.identifierhttp://arxiv.org/abs/math/9808081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77297
dc.subjectDifferential Geometry
dc.subject58H05 (primary) 17B66, 18D05, 22A22, 58F05
dc.titleDouble Lie algebroids and the double of a Lie bialgebroid
dc.typetext

Files

Collections

arXiv