Graded contractions of Lie algebras and central extensions

Authors
de Montigny, M de Guise, H
Citation
M. De Montigny et H. De Guise, Graded contractions of Lie algebras and central extensions, CZEC J PHYS, 51(4), 2001, pp. 365-374
Citations number
6
Categorie Soggetti
Physics
Journal title
CZECHOSLOVAK JOURNAL OF PHYSICS
ISSN journal
00114626 → ACNP
Volume
51
Issue
4
Year of publication
2001
Pages
365 - 374
Database
ISI
SICI code
0011-4626(200104)51:4<365:GCOLAA>2.0.ZU;2-B
Abstract
We generalize the methods of graded contractions in order to determine, usi ng grading arguments only, the existence of central charges within the limi t Lie algebras. As an illustration we show how this formalism allows one to recover the u(n)-bosons limits of the classical Lie algebras.