On realizations of Lie algebras
We discuss and compare the main methods for constructing of Lie vector fields from the given Lie algebra structure constants. Generic realizations of three conformal algebras are obtained by the algebraic method and all realizations of the three-dimensional complex special linear algebra are obtained by the general method and compared with the finite-dimensional weight representations.
Authors
- Severin Pošta (ORCID: https://orcid.org/0000-0001-6291-7410)
- Maryna Nesterenko (ORCID: https://orcid.org/0000-0001-6352-2365)
- Mykola Staryi
Institutions
- Kyiv School of Economics (UA)
- Institute of Mathematics (UA)
- Czech Technical University in Prague (CZ)
Publication Details
- Journal
- Acta Polytechnica
- Published
- 2025-11-07
- DOI
- https://doi.org/10.14311/ap.2025.65.0554
- Primary Topic
- Algebraic structures and combinatorial models
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Science Foundation Ireland