RT Journal Article
T1 Derivations and lower cohomology of Lie algebra crossed modules
A1 Ladra González, Manuel
A1 Pérez Rodríguez, Andrés
K1 Lie algebra crossed modules
K1 Derivations
K1 Universal enveloping
K1 Cohomology
AB In this paper, we define the derivation of a Lie algebra crossed module and prove that it can be represented by the augmentation ideal of a crossed module. Additionally, we introduce the first cohomology groups for n = 0,1, of a crossed module with coefficients, and we establish their connection to the classical Chevalley-Eilenberg Lie algebra cohomology.
PB University of Niš, Faculty of Sciences and Mathematics
YR 2026
FD 2026-04-15
LK https://hdl.handle.net/10347/47179
UL https://hdl.handle.net/10347/47179
LA eng
NO Ladra, M., Pérez-Rodríguez, A. (2026). Derivations and lower cohomology of Lie algebra crossed modules. Filomat, 40(9), 3213-3224
NO Research partially supported by the Agencia Estatal de Investigación (Spain), grants PID2020-115155GB-I00 and PID2024155502NB-I00 from MICIU/AEI/10.13039/501100011033 and from FEDER, UE, and by the Xunta de Galicia through the Competitive Reference Groups(GRC),ED431C2023/31. The second author was also supported by the FPU21/05685 scholarship from the Ministerio de Educación y Formación Profesional (Spain).
DS Minerva
RD 18 may 2026