Canonical isomorphism of two Lie algebras arising in CRgeometry
Abstract
We show that the maximal prolongation of a certain algebra associated with a nondegenerate Hermitian form on ${\Bbb C}^n\times{\Bbb C}^n$ with values in ${\Bbb R}^k$ is canonically isomorphic to the Lie algebra of infinitesimal holomorphic automorphisms of the corresponding quadric in ${\Bbb C}^{n+k}$. This fact creates a link between different approaches to the equivalence problem for Levinondegenerate strongly uniform CRmanifolds.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 April 1998
 DOI:
 10.48550/arXiv.math/9804054
 arXiv:
 arXiv:math/9804054
 Bibcode:
 1998math......4054E
 Keywords:

 Mathematics  Complex Variables;
 32C16
 EPrint:
 16 pages, see also http://wwwmaths.anu.edu.au/research.reports/98mrr.html