7 papers
Jordan homomorphisms: A survey
Matej Brešar, Efim Zelmanov
The paper surveys the history and state-of-the-art of the study of Jordan homomorphisms.
On the complexity of subshifts and infinite words
Be'eri Greenfeld, Carlos Gustavo Moreira, Efim Zelmanov
We characterize the complexity functions of subshifts up to asymptotic equivalence. The complexity function of every aperiodic function is non-decreasing, submultiplicative and gro…
Complexity and recurrence in infinite words and related structures
Be'eri Greenfeld, Carlos Gustavo Moreira, Efim Zelmanov
We study the asymptotics and fine-scale behavior of quantitative combinatorial measures of infinite words and related dynamical and algebraic structures. We construct infinite recu…
Jordan homomorphisms and T-ideals
Matej Brešar, Efim Zelmanov
Let and be associative algebras over a field with {\rm char}. Our first main result states that if is unital and equal to its commutator ideal, then every…
Cuspidal modules over Superconformal algebras of rank \geq 1
Consuelo Martinez, Olivier Mathieu, Efim Zelmanov
According to V. Kac and J. van de Leur, the superconformal algebras are the simple -graded Lie superalgebras of growth one which contains the Witt algebra. We describe an expli…
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…