Realization of arbitrary Lie algebras by automorphisms of $\mathrm{CR}$ manifolds and symmetries of differential equations
- Authors: Stepanova M.A.1
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Issue: Vol 88, No 2 (2024)
- Pages: 127-152
- Section: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/254266
- DOI: https://doi.org/10.4213/im9469
- ID: 254266
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Abstract
For any finite-dimensional real Lie algebra $\mathfrak{h}$, we constructa germ of a real analytic hypersurface in complex space such that its Lie algebraof infinitesimal holomorphic automorphisms is isomorphic to $\mathfrak{h}$.For any $\mathfrak{h}$, we also construct a system of partial differential equations whoseLie algebra of symmetries is isomorphic to the complexificationof the algebra $\mathfrak{h}$.
About the authors
Mariya Aleksandrovna Stepanova
Steklov Mathematical Institute of Russian Academy of Sciences
Scopus Author ID: 57197703423
ResearcherId: AAG-1157-2019
without scientific degree, no status
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