Published June 2, 2006
| Version v1
Journal article
Internal deformation of Lie algebroids and symplectic realizations
- 1. Departamento de Fisica Teorica, Universidad de Zara-goza, 50009 Zaragoza (Spain)
- 2. Departamento de Matematica, Universidade de Coimbra, 3001-454 Coimbra (Portugal)
- 3. Departamento de Fisica e Matematica, Instituto Superior de Engenharia de Coimbra, 3030-199 Coimbra (Portugal)
Description
Given a Lie algebroid and a bundle over its base which is endowed with a localizable Poisson structure and a flat connection, we construct an extended bundle whose dual is endowed with an almost-Poisson structure that is a quadratic Poisson structure when a certain compatibility property is satisfied. This new formalism on Lie algebroids describes systems with internal degrees of freedom
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/39/6897/a6_22_007.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/39/6897/a6_22_007.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/39/22/007;
- PII
- S0305-4470(06)17759-8;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 39
- Journal Issue
- 22
- Journal Page Range
- p. 6897-6918
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37119841
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGEBRA; COMPATIBILITY; DEFORMATION; DEGREES OF FREEDOM; LIE GROUPS
- Descriptors DEC
- MATHEMATICS; SYMMETRY GROUPS