Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras
Authors:
- H. AlbuquerqueHAH. Albuquerque
- E. BarreiroEBE. Barreiro
- S. BenayadiSBS. Benayadi
- M. BoucettaMBM. Boucetta
- J.M. SánchezJSJ.M. Sánchez
- 1 February 2021
- journal article
- research article
- Published by Elsevier in Journal of Geometry and Physics
- Vol. 160
Abstract
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Funding Information
- Centre for Mathematics of the University of Coimbra, Portugal (UIDB/00324/2020, FQM298, FQM7156)
- Portuguese Government (FCT/MCTES, MTM2013-41208P)
- PCI of the UCA “Teoría de Lie y Teoría de Espacios de Banach”, Spain
- Spanish Ministerio de Educación y Ciencia
This publication has 14 references indexed in Scilit:
- Totally Geodesic and Parallel Hypersurfaces of Four-Dimensional Oscillator GroupsResults in Mathematics, 2013
- Solutions of the Yang–Baxter equations on quadratic Lie groups: The case of oscillator groupsJournal of Geometry and Physics, 2011
- Poisson algebras in terms of non-associative algebrasJournal of Algebra, 2008
- Lie algebras with quadratic dimension equal to 2Journal of Pure and Applied Algebra, 2006
- Algebras with one operation including Poisson and other Lie-admissible algebrasJournal of Algebra, 2006
- Socle and some invariants of quadratic Lie superalgebrasJournal of Algebra, 2003
- Reductive decompositions and Einstein–Yang–Mills equations associated to the oscillator groupJournal of Mathematical Physics, 1999
- Chronogeometry of an electromagnetic wave given by a biinvariant metric on the oscillator groupsSiberian Mathematical Journal, 1986
- Groupes de Lie munis de métriques bi-invariantesTohoku Mathematical Journal, 1985
- The representations of the oscillator groupCommunications in Mathematical Physics, 1967