RT Journal Article
T1 A classification of nilpotent compatible Lie algebras
A1 Ladra González, Manuel
A1 Leite da Cunha, Bernardo
A1 Lopes, Samuel A.
K1 Algebraic Geometry
K1 Associative Rings and Algebras
K1 Commutative Rings and Algebras
K1 Multilinear Algebra
K1 Topological Groups and Lie Groups
K1 Group Theory and Generalizations
AB Working over an arbitrary field of characteristic different from 2, we extend the Skjelbred-Sund method to compatible Lie algebras and give a full classification of nilpotent compatible Lie algebras up to dimension 4. In case the base field is cubically closed, we find that there are three isomorphism classes and a one-parameter family in dimension 3, and 12 isomorphism classes, 6 one-parameter families and one 2-parameter family in dimension 4.
PB Springer
SN 0009-725X
YR 2025
FD 2025-01-22
LK https://hdl.handle.net/10347/42177
UL https://hdl.handle.net/10347/42177
LA eng
NO Ladra, M., Leite da Cunha, B. & Lopes, S.A. A classification of nilpotent compatible Lie algebras. Rend. Circ. Mat. Palermo, II. Ser 74, 70 (2025). https://doi.org/10.1007/s12215-024-01126-z
NO Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. The first and second authors are supported by Agencia Estatal de Investigación (Spain), grant PID2020-115155GB-I00 (European FEDER support included, UE) and by Xunta de Galicia through the Competitive Reference Groups (GRC), ED431C 2023/31. The second author is supported by an FCT—Fundação para a Ciência e a Tecnologia, I.P scholarship with reference number 2023.00796.BD. The second and third authors are supported by CMUP, a member of LASI, which is financed by national funds through FCT—Fundação para a Ciência e a Tecnologia, I.P., under the projects with reference UIDB/00144/2020 and UIDP/00144/2020.
DS Minerva
RD 28 abr 2026