Graded contractions of Lie algebras and central extensions

Authors
de Guise, H de Montigny, M
Citation
H. De Guise et M. De Montigny, Graded contractions of Lie algebras and central extensions, J PHYS A, 33(22), 2000, pp. 4039-4057
Citations number
33
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
22
Year of publication
2000
Pages
4039 - 4057
Database
ISI
SICI code
0305-4470(20000609)33:22<4039:GCOLAA>2.0.ZU;2-M
Abstract
We use the concept of grading of Lie algebras to investigate the appearance of central charges during the contraction process. As for the usual graded contractions, one finds simultaneously the central extensions of classes o f algebras, rather than specific Lie algebras. To illustrate the method, we consider in detail two physical applications: the kinematical algebras of spacetime and the u(n)-bosons limits of some Lie algebras.