Canonical isomorphism of two Lie algebras arising in CR-geometry

dc.creatorEzhov, V. V.
dc.creatorIsaev, A. V.
dc.date1998-04-09
dc.date.accessioned2026-07-07T05:24:22Z
dc.date.available2026-07-07T05:24:22Z
dc.descriptionWe show that the maximal prolongation of a certain algebra associated with a non-degenerate 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 Levi-nondegenerate strongly uniform CR-manifolds.
dc.description16 pages, see also http://wwwmaths.anu.edu.au/research.reports/98mrr.html
dc.identifierhttps://arxiv.org/abs/math/9804054
dc.identifierhttp://arxiv.org/abs/math/9804054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76813
dc.subjectComplex Variables
dc.subject32C16
dc.titleCanonical isomorphism of two Lie algebras arising in CR-geometry
dc.typetext

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