A classification of p-nilpotent 5-dimensional restricted Lie algebras over algebraically closed
fields of characteristic p> 3 is provided. This is achieved by employing a natural restricted …

We first adapt a method due to Skjelbred–Sund to classify p-nilpotent restricted Lie algebras.
It turns out that any p-nilpotent restricted Lie algebra of dimension n can be constructed as a …

The main purpose of this paper is to study restricted formal deformations of restricted Lie-
Rinehart algebras in positive characteristic $ p $. For $ p> 2$, we discuss the deformation …

The first main result of this paper is to build the first and second restricted cohomology
groups for restricted Lie superalgebras in characteristic $ p\geq3 $, modifying a construction …

Let p be a prime, and k be a field of characteristic p. We investigate the algebra structure and
the structure of the cohomology ring for the connected Hopf algebras of dimension p 3 …

L'objectif de cette thèse est l'étude des algèbres de Lie-Rinehart, en particulier en
caractéristique positive. On s' intéresse à leur structure, leur cohomologie, leurs …

With the main objective that it can be consulted by all researchers, mainly young people,
interested in the study of the Kac-Moody algebras and their applications, this paper aims to …

In this paper, we first study the restricted representation of a restricted Hom-pre-Lie algebra
in characteristic 2. Then we define the corresponding first and second cohomology space …

The main purpose of this paper is to define the restricted representations and corresponding
cohomology structures of restricted Hom-Lie algebras in characteristic 2. Particularly, we …

In this article, we introduce the notions of restricted Lie 2-algebras and crossed modules of
restricted Lie algebras, and give a series of examples of restricted Lie 2-algebras. We also …