Canonical Isomorphism of Two Lie Algebras Arising in -geometry
Vladimir V. Ezhov
The University of Adelaide, AustraliaAlexander V. Isaev
Australian National University, Canberra, Australia
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Abstract
We show that the maximal prolongation of a certain algebra associated with a non-degenerate Hermitian form on with values in is canonically isomorphic to the Lie algebra of infinitesimal holomorphic automorphisms of the corresponding quadric in . This fact creates a link between different approaches to the equivalence problem for Levi-nondegenerate strongly uniform -manifolds.
Cite this article
Vladimir V. Ezhov, Alexander V. Isaev, Canonical Isomorphism of Two Lie Algebras Arising in -geometry. Publ. Res. Inst. Math. Sci. 35 (1999), no. 2, pp. 249–261
DOI 10.2977/PRIMS/1195143951