2 papers
math.RA2026
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.
math.RA2025
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…