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
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.