2026-06-28T15:10:57Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/584002024-07-16T14:25:33Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Ancochea Bermúdez, José María
author
Campoamor Stursberg, Otto-Rudwig
2023-06-20T18:42:49Z
2023-06-20T18:42:49Z
2002
1005-3867
https://hdl.handle.net/20.500.14352/58400
http://www.worldscientific.com/worldscinet/ac
http://www.worldscientific.com
One of the main achievements of the paper under review is the construction of new classes of characteristically nilpotent Lie algebras that are not filiform. In fact, in
Theorem 4.5 one describes, for arbitrary m 4, a characteristically nilpotent Lie algebra of dimension 2m+ 2 whose characteristic sequence is (2m− 1, 2, 1). The starting point of that construction is given by the Lie algebras denoted by g4(m,m−1). The latter algebra is characterized in Theorem 3.7 as the only naturally graded central extension of L2m−1 by C with nilindex 2m − 1, where L2m−1 is the Lie algebra having a basis {X1, . . . ,X2m} such that [X1,Xi] = Xi+1 for 2 i 2m − 1, and [Xi,Xj ] = 0 for the other pairs of basis vectors. The main idea of the aforementioned construction of non-filifor characteristically nilpotent Lie algebras is to consider deformations of the algebras g4(m,m−1).
eng
Non-filiform characteristically nilpotent and complete Lie algebras
journal article
URL
https://docta.ucm.es/bitstreams/b49eb2f9-90d1-4de7-918b-f4c38c845e9c/download
File
MD5
53d181e74069002a3f67c98295de1de4
197639
application/pdf
Ancochea17.pdf
URL
https://docta.ucm.es/bitstreams/4603517f-1808-470c-a03f-0d9c0f2b3524/download
File
MD5
5077d0ea611c5092f6692381ce26946d
31700
text/plain
Ancochea17.pdf.txt