Symmetry algebras of polynomial models in complex dimension three
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | Pure and Applied Mathematics Quarterly |
| MU Faculty or unit | |
| 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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