11 citations · 15 across the 6 of their papers we have counts for
6 papers
On varieties of Lie algebras of maximal class
Tatyana Barron, Dmitry Kerner, Marina Tvalavadze
We study complex projective varieties that parametrize (finite-dimensional) filiform Lie algebras over C, using equations derived by Millionshchikov. In the infinite-dimensional ca…
Enveloping algebras of Malcev algebras
Murray R. Bremner, Irvin R. Hentzel, Luiz A. Peresi +2
We first discuss the construction by Perez-Izquierdo and Shestakov of universal nonassociative enveloping algebras of Malcev algebras. We then describe recent results on explicit s…
Enveloping algebras of solvable Malcev algebras of dimension five
Murray R. Bremner, Marina V. Tvalavadze
We study the universal enveloping algebras of the one-parameter family of solvable 5-dimensional non-Lie Malcev algebras. We explicitly determine the universal nonassociative envel…
Group Gradings on
Yuri Bahturin, Marina Tvalavadze
In this paper we describe all group gradings by a finite abelian group of a simple Lie algebra of type over an algebraically closed field of characteristic 0.
Group gradings on superinvolution simple superalgebras
Yu. Bahturin, M. Tvalavadze, T. Tvalavadze
In this paper we describe all group gradings by an arbitrary finite group on non-simple finite-dimensional superinvolution simple associative superalgebras over an algebraicall…
Group gradings on superalgebras
M. Tvalavadze, T. Tvalavadze
In this paper we look into the structure of finite-dimensional graded superalgebras of various types such as associative, Lie and Jordan over an algebraically closed field of chara…