2 citations · 3 across the 5 of their papers we have counts for
6 papers
An explicit tame factorization of the four-variable Anick automorphism
Alexei Miasnikov, Ivan Shestakov
Let . We give an explicit tame factorization of the Anick automorphism of . After a linear change of coordinates, the factorization consists…
Simple unital Jordan superalgebras
Ivan Shestakov, Efim Zelmanov
We prove that a simple unital Jordan superalgebra of arbitrary dimension belongs to the list of known simple unital superalgebras or lies in a certain proper subvariety.
Simple Jordan superalgebras with the even parts of Clifford type
Ivan Shestakov, Efim Zelmanov
The purpose of this paper is a partial progress towards classification of simple infinite dimensional Jordan superalgebras. First, we prove that the only simple infinite dimensiona…
On torsion-free nilpotent loops
J. Mostovoy, J. M. Perez-Izquierdo, I. P. Shestakov
We show that a torsion-free nilpotent loop (that is, a loop nilpotent with respect to the dimension filtration) has a torsion-free nilpotent left multiplication group of, at most,…
Nilpotent Sabinin algebras
J. Mostovoy, J. M. Perez-Izquierdo, I. P. Shestakov
In this note we establish several basic properties of nilpotent Sabinin algebras. Namely, we show that nilpotent Sabinin algebras (1) can be integrated to produce nilpotent loops,…
Hopf algebras in non-associative Lie theory
J. Mostovoy, J. M. Pérez-Izquierdo, I. P. Shestakov
We review the developments in the Lie theory for non-associative products from 2000 to date and describe the current understanding of the subject in view of the recent works, many…