Sesión Geometría y Teoría de LieCharacterization of contact Lie superalgebras
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.
We present the concept of finite-dimensional complex homogeneous contact Lie superalgebra. The $\mathbb{Z}_2$-graded homogeneous cases are studied in detail producing some relevant examples. We characterize homogeneous contact Lie superalgebras in terms of their Berezinian and their structure matrix. These Lie superalgebras are also characterized by means of deformation theory, and as an application we obtain the complete classification of low dimensional Lie superalgebras of this type.
Trabajo en conjunto con: María del Carmen Rodríguez-Vallarte (Universidad Autónoma de San Luis Potosí) y Gil Salgado (Universidad Autónoma de San Luis Potosí).
Referencias
[1] M. A. Alvarez, M. C. Rodríguez-Vallarte, G. Salgado. Characterization of contact Lie superalgebras, Journal of Geometry and Physics 196, (2024), 105058. https://doi.org/10.1016/j.geomphys.2023.105058