Symmetry algebras of polynomial models in complex dimension three

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F22%3A00129311" target="_blank" >RIV/00216224:14310/22:00129311 - isvavai.cz</a>

Result on the web

<a href="https://dx.doi.org/10.4310/PAMQ.2022.v18.n2.a13" target="_blank" >https://dx.doi.org/10.4310/PAMQ.2022.v18.n2.a13</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4310/PAMQ.2022.v18.n2.a13" target="_blank" >10.4310/PAMQ.2022.v18.n2.a13</a>

Result language

angličtina

Original language name

Symmetry algebras of polynomial models in complex dimension three

Original language 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.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA21-09220S" target="_blank" >GA21-09220S: Invariants and symmetries of Levi degenerate CR manifolds</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Pure and Applied Mathematics Quarterly

ISSN

1558-8599

e-ISSN

1558-8602

Volume of the periodical

18

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

18

Pages from-to

639-656

UT code for WoS article

000800284800014

EID of the result in the Scopus database

2-s2.0-85133555315