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math.RA2020
Identities in group rings, enveloping algebras and Poisson algebras
Victor Petrogradsky
This is a short survey of works on identical relations in group rings, enveloping algebras, Poisson symmetric algebras and other related algebraic structures. First, the classical…
math.RA2020
Nil restricted Lie algebras of oscillating intermediate growth
Victor Petrogradsky
The Grigorchuk and Gupta-Sidki groups are natural examples of self-similar finitely generated periodic groups. The author constructed their analogue in case of restricted Lie algeb…
math.RA2020
Clover nil restricted Lie algebras of quasi-linear growth
Victor Petrogradsky
The Grigorchuk and Gupta-Sidki groups play fundamental role in modern group theory. They are natural examples of self-similar finitely generated periodic groups. The author constru…