CONSTRUCTIONS OF MINIMAL REALIZATIONS OF A SIMPLE LIE-ALGEBRA OF TYPEG(2) BY DEFORMATION

Authors
Citation
B. Cahen, CONSTRUCTIONS OF MINIMAL REALIZATIONS OF A SIMPLE LIE-ALGEBRA OF TYPEG(2) BY DEFORMATION, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(8), 1996, pp. 853-857
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
07644442
Volume
323
Issue
8
Year of publication
1996
Pages
853 - 857
Database
ISI
SICI code
0764-4442(1996)323:8<853:COMROA>2.0.ZU;2-D
Abstract
Let g be a complex simple Lie algebra of type G(2) and let O be its mi nimal (coadjoint) orbit. We construct minimal realizations of g by def ormation of Poisson and g-module structures of an algebra of functions on O.