2026-08-21T00:07:02Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/332702024-07-15T14:21:29Zcom_20.500.14352_14col_20.500.14352_15
Completeness of quasi-filiform Lie algebras
García Vergnolle, Lucía
Ancochea Bermúdez, José María
Almaraz Luengo, Elena Salome
512
Complete Lie algebra
Quasi-filiform
Cohomology
Álgebra
1201 Álgebra
It is proved that for any quasi-filiform of non-zero rank the solvable Lie algebra obtained by adjoining a maximal torus of outer derivations is complete. Further, for any positive integer m, it is shown that there exist solvable complete Lie algebras with the second ChevalleyEilenberg cohomology group of arbitrary dimension.
Depto. de Álgebra, Geometría y Topología
Fac. de Ciencias Matemáticas
Instituto de Matemática Interdisciplinar (IMI)
TRUE
pub
2023-06-19T13:21:25Z
2023-06-19T13:21:25Z
2013-05
journal article
https://hdl.handle.net/20.500.14352/33270
0308-1087
10.1080/03081087.2012.696250
Almaraz Luengo, E. S., Ancochea Bermúdez, J. M. & García Vergonolle, L. «Completeness of Quasi-Filiform Lie Algebras». Linear and Multilinear Algebra, vol. 61, n.o 5, mayo de 2013, pp. 582-95. DOI.org (Crossref), https://doi.org/10.1080/03081087.2012.696250.
Almaraz Luengo, E. S., Ancochea Bermúdez, J. M. & García Vergnolle, L. «Completeness of Quasi-Filiform Lie Algebras». Linear and Multilinear Algebra, vol. 61, n.o 5, mayo de 2013, pp. 582-95. DOI.org (Crossref), https://doi.org/10.1080/03081087.2012.696250.
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