On S-expansions and other transformations of Lie algebras

Abstract: 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. This is a joint work with Javier Rosales-Gómez.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar