Symmetry algebras of polynomial models in complex dimension three

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Authors

KOLÁŘ Martin

Year of publication 2022
Type Article in Periodical
Magazine / Source Pure and Applied Mathematics Quarterly
MU Faculty or unit

Faculty of Science

Citation
Web https://dx.doi.org/10.4310/PAMQ.2022.v18.n2.a13
Doi http://dx.doi.org/10.4310/PAMQ.2022.v18.n2.a13
Keywords Infinitesimal CR automorphisms; Levi degenerate manifolds; Catlin multitype
Description We consider the Lie algebra of infinitesimal CR automorphisms of a real hypersurface at a point of Levi degeneracy. As a main result, we give a complete classification of symmetry algebras of dimension at least six for polynomial models of finite Catlin multitype in C-3. As a consequence, this also provides understanding of "exotic" higher order symmetries, which violate 2-jet determination.
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