On realizations of Lie algebras
DOI:
https://doi.org/10.14311/AP.2025.65.0554Keywords:
realization, representation, local groupAbstract
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.
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Copyright (c) 2025 Maryna Nesterenko, Maryna Nesterenko, Severin Pošta, Mykola Staryi
This work is licensed under a Creative Commons Attribution 4.0 International License.
