27 citations · 45 across the 25 of their papers we have counts for
5 papers · 1 filter
Classification of 5-dimensional restricted Lie algebras over perfect fields, I
Iren Darijani, Hamid Usefi
The purpose of this paper is to classify all -nilpotent restricted Lie algebras of dimension 5 over perfect fields of characteristic . Our work builds upon the recent w…
Isomorphism invariants of enveloping algebras
Hamid Usefi
Let be a Lie algebra with its enveloping algebra over a field. In this paper we survey results concerning the isomorphism problem for enveloping algebras: given another…
Restricted enveloping algebras whose skew and symmetric elements are Lie metabelian
Salvatore Siciliano, Hamid Usefi
Let be a restricted Lie algebra over a field of characteristic and denote by its restricted enveloping algebra. We establish when the symmetric or skew elements of…
A note on diagonal and Hermitian surfaces
Ian Blake, V. Kumar Murty, Hamid Usefi
Aspects of the properties, enumeration and construction of points on diagonal and Hermitian surfaces have been considered extensively in the literature and are further considered h…
The classification of p-nilpotent restricted Lie algebras of dimension at most 4
Csaba Schneider, Hamid Usefi
In this paper we obtain the classification of -nilpotent restricted Lie algebras of dimension at most four over a perfect field of characteristic p.