Conference abstracts

Session S05 - Rings and Algebras

July 29, 16:35 ~ 17:00

Lie algebras of slow growth

Victor Petrogradsky

University of Brasilia, Brazil   -

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.

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