Generalized Lie bialgebras and Jacobi structures on Lie groups

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dc.creatorIglesias, D.
dc.creatorMarrero, J. C.
dc.date2001-02-21
dc.date.accessioned2026-07-07T04:40:18Z
dc.date.available2026-07-07T04:40:18Z
dc.descriptionWe study generalized Lie bialgebroids over a single point, that is, generalized Lie bialgebras. Lie bialgebras are examples of generalized Lie bialgebras. Moreover, we prove that the last ones can be considered as the infinitesimal invariants of Lie groups endowed with a certain type of Jacobi structures. We also propose a method to obtain generalized Lie bialgebras. It is a generalization of the Yang-Baxter equation method. Finally, we describe the structure of a compact generalized Lie bialgebra.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0102171
dc.identifierhttp://arxiv.org/abs/math/0102171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60985
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject17B62; 22Exx; 53D05; 53D10; 53D17
dc.titleGeneralized Lie bialgebras and Jacobi structures on Lie groups
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