Canonical isomorphism of two Lie algebras arising in CR-geometry
Ezhov, V. V. · Isaev, A. V.
الأصل · EN
We show that the maximal prolongation of a certain algebra associated with a non-degenerate Hermitian form on Cⁿ× Cⁿ with values in Rᵏ is canonically isomorphic to the Lie algebra of infinitesimal holomorphic automorphisms of the corresponding quadric in Cⁿ⁺ᵏ. This fact creates a link between different approaches to the equivalence problem for Levi-nondegenerate strongly uniform CR-manifolds.
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