Abstract
The Lie algebra gr of all infinitesimal automorphisms of a Siegel domain in terms of polynomial vector fields was investigated by Kaup, Matsushima and Ochiai [6]. It was proved in [6] that gr is a graded Lie algebra; gr = g-1 + g-1/2 + g0 + g1/2 + g1 and the Lie subalgebra ga of all infinitesimal affine automorphisms is given by the graded subalgebra; ga = g-1 + g-1/2 + g0. Nakajima [9] proved without the assumption of homogeneity that the non-affine parts g1/2 and g1 can be determined from the affine part ga.
Publisher
Cambridge University Press (CUP)
Reference18 articles.
1. On the automorphism groups of homogeneous bounded domains;Kaneyuki;J. Fac. Sci. Univ. Tokyo,1967
2. On infinitesimal affine automorphisms of Siegel domains
3. Kahlerian Coset Spaces of Semisimple Lie Groups
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Pseudo-Hermitian Symmetric Spaces;Analysis and Geometry on Complex Homogeneous Domains;2000
2. On the curvature of homogeneous Kähler metrics of bounded domains;Annali di Matematica Pura ed Applicata;1989-12
3. Homogeneous Siegel domains;Nagoya Mathematical Journal;1982-06
4. Automorphisms of Siegel Domains;American Journal of Mathematics;1979-10
5. On classification of quasi-symmetric domains;Nagoya Mathematical Journal;1976-09