12 citations · 25 across the 17 of their papers we have counts for
5 papers · 1 filter
Loop of formal diffeomorphisms and F{à}a di Bruno coloop bialgebra
Alessandra Frabetti, Ivan Shestakov
We consider a generalization of (pro)algebraic loops defined on general categories of algebras and the dual notion of a coloop bialgebra suitable to represent them as functors. Our…
On Jordan doubles of slow growth of Lie superalgebras
Victor Petrogradsky, Ivan Shestakov
To an arbitrary Lie superalgebra we associate its Jordan double , which is a Jordan superalgebra. This notion was introduced by the second author before. Now…
Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras
Victor Petrogradsky, Ivan Shestakov
We construct a just infinite fractal 3-generated Lie superalgebra over arbitrary field, which gives rise to an associative hull , a Poisson superalgebra $\ma…
Triple Jordan systems and integrable models of mKdV-type
I. P. Shestakov, V. V. Sokolov
A one-to-one correspondence between triple Jordan systems and integrable multi-component models of the modified Korteveg--de Vries type is established.
Rings of constants of linear derivations on Fermat rings
Marcelo Oliveira Veloso, Ivan Shestakov
In this paper we characterize all the linear -derivations of the Fermat ring. We show that the Fermat ring has linear -derivations with trivial ring of cons…