Conference abstracts
Session S05 - Rings and Algebras
July 29, 16:35 ~ 17:00
Lie algebras of slow growth
Victor Petrogradsky
University of Brasilia, Brazil - petrogradsky@rambler.ru
We discuss rather old and recent constructions of Lie algebras and superalgebras of slow growth. In particular, we obtain examples of finitely generated (self-similar) (restricted) Lie (super)algebras of slow polynomial growth with a nil p-mapping.
By their properties, these restricted Lie (super)algebras resemble Grigorchuk and Gupta-Sidki groups. We discuss different properties of these algebras and their associative hulls.