Work

Central extensions of restricted Lie superalgebras and classification of p-nilpotent Lie superalgebras in dimension 4

Year: 2024

Type: article

Abstract: The first main result of this paper is to build the first and second restricted cohomology groups for restricted Lie superalgebras in characteristic [Formula: see text], modifying a construction by Yuan, Chen and Cao. We will explain how these groups capture some algebraic structures, such as extensions and derivations. Further, we apply this construction to classify [Formula: see text]-nilpotent restricted Lie superalgebras up to dimension [Formula: see text] over an algebraically closed field of characteristic [Formula: see text].

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498826500659

Authors: Sofiane Bouarroudj, Quentin Ehret

Institution: New York University Abu Dhabi

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: New York University Abu Dhabi

Award: G3326218219