About two classes of simple Lie algebras over a field of characteristic 3
The author investigates the detailed structure of the simple Lie algebras of the series \(T\) and \({\mathcal R}\) over fields of characteristic 3 defined by \textit{M. I. Kuznetsov} [Math. USSR, Sb. 66, 145-158 (1990); translation from Mat. Sb. 180, No. 2, 147-158 (1989; Zbl 0671.17008)]. Lie multiplication relative to a certain basis is given, and the question of isomorphism with other known simple algebras of the same dimension is investigated. Other descriptions of these same algebras can be found in articles by the reviewer [Mich. Math. J. 39, 85-90 (1992; Zbl 0755.17016)] and \textit{S. M. Skryabin} [Russ. Acad. Nauk, Sb., Math. 76, 389-406 (1993); translation from Mat. Sb. 183, No. 8, 3-2 (1992)].
scientific article; zbMATH DE number 130683