A. N. Grishkov, I. P. Shestakov, M. N. Rasskazova, “New examples of binary Lie superalgebras and algebras”, Algebra Logika, 2021, Volume 60, Number 6,Pages <nobr>557

New examples of binary Lie superalgebras and algebras

A. N. Grishkov^ab, I. P. Shestakov^cd, M. N. Rasskazova^e

^a Omsk State University
^b Inst. Matem. Estat., Univ. São Paulo, São Paulo, BRASIL
^c Dep. Mat., Univ. São Paulo, São Paulo, BRASIL
^d Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^e Omsk State Technical University

Abstract: New constructions of prime binary Lie superalgebras are presented. Based on one of these, we construct the first example of a prime binary Lie algebra that is not a Mal'tsev algebra.

Keywords: binary Lie superalgebra, binary Lie algebra.

UDC: 510.649

Received: 17.08.2021
Revised: 08.04.2022

DOI: 10.33048/alglog.2021.60.603