TY - JOUR
T1 - Central extensions of restricted Lie superalgebras and classification of p -nilpotent Lie superalgebras in dimension 4
AU - Bouarroudj, Sofiane
AU - Ehret, Quentin
N1 - Publisher Copyright:
© 2026 World Scientific Publishing Company.
PY - 2024
Y1 - 2024
N2 - The first main result of this paper is to build the first and second restricted cohomology groups for restricted Lie superalgebras in characteristic p ≥ 3, 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 p-nilpotent restricted Lie superalgebras up to dimension 4 over an algebraically closed field of characteristic p ≥ 3.
AB - The first main result of this paper is to build the first and second restricted cohomology groups for restricted Lie superalgebras in characteristic p ≥ 3, 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 p-nilpotent restricted Lie superalgebras up to dimension 4 over an algebraically closed field of characteristic p ≥ 3.
KW - classification of Lie (super) algebra
KW - nilpotent Lie (super) algebra
KW - restricted cohomology
KW - Restricted Lie (super) algebra
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U2 - 10.1142/S0219498826500659
DO - 10.1142/S0219498826500659
M3 - Article
AN - SCOPUS:85211743787
SN - 0219-4988
JO - Journal of Algebra and Its Applications
JF - Journal of Algebra and Its Applications
M1 - 2650065
ER -