GRADING REFINEMENTS IN THE CONTRACTIONS OF LIE-ALGEBRAS AND THEIR INVARIANTS

Authors
ABDELMALEK MA LENG X PATERA J WINTERNITZ P
Citation
Ma. Abdelmalek et al., GRADING REFINEMENTS IN THE CONTRACTIONS OF LIE-ALGEBRAS AND THEIR INVARIANTS, Journal of physics. A, mathematical and general, 29(23), 1996, pp. 7519-7543
Citations number
37
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
23
Year of publication
1996
Pages
7519 - 7543
Database
ISI
SICI code
0305-4470(1996)29:23<7519:GRITCO>2.0.ZU;2-4
Abstract
All mutually inequivalent toroidal gradings of the Lie algebra sl(3, C ) are Each of them provides several different graded contractions to o ther eight-dimensional Lie algebras. These can be either continuous, o r discrete. The continuous ones are related to generalized Wigner-Inon u contractions. The behaviour of sl(3, C) Casimir operators under the graded contractions is studied and the Casimir and generalized Casimir operators of the contracted Lie algebras are presented.