5 papers · 1 filter
Non-Matrix Polynomial identity enveloping algebras
Hamid Usefi
Let L be a restricted Lie superalgebra with its restricted enveloping algebra u(L) over a field F of characteristic p>2. A polynomial identity is called non-matrix if it is not sat…
Lie solvable enveloping algebras of characteristic two
Salvatore Siciliano, Hamid Usefi
Lie solvable restricted enveloping algebras were characterized by Riley and Shalev except when the ground field is of characteristic 2. We resolve the characteristic 2 case here wh…
Enveloping algebras of the nilpotent Malcev algebra of dimension five
Murray R. Bremner, Hamid Usefi
Perez-Izquierdo and Shestakov recently extended the PBW theorem to Malcev algebras. It follows from their construction that for any Malcev algebra over a field of characteristi…
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…
The isomorphism problem for universal enveloping algebras of nilpotent Lie algebras
Csaba Schneider, Hamid Usefi
In this paper we study the isomorphism problem for the universal enveloping algebras of nilpotent Lie algebras. We prove that if the characteristic of the underlying field is not~2…