Sesión Álgebra y GeometríaOn $S$-expansions and other transformations of Lie algebras
María Alejandra Alvarez
Universidad de Antofagasta, Chile - Esta dirección de correo electrónico está siendo protegida contra los robots de spam. Necesita tener JavaScript habilitado para poder verlo.
The aim of this work is to study the relation between $S$-expansions and other transformations of Lie algebras. In particular, we prove that contractions, deformations and central extensions of Lie algebras are preserved by $S$-expansions. We also provide several examples and give conditions so transformations of reduced subalgebras of $S$-expanded algebras are preserved by the $S$-expansion procedure.
Trabajo en conjunto con: Javier Rosales-Gómez (Universidad de Antofagasta, Chile).
Referencias
[1] M. A. Alvarez, J. Rosales-Gómez, On $S$-expansions and other transformations of Lie algebras, J. Phys. A: Math. Theor. 56, (2023), 235204