Classification des algèbres de Lie nilpotentes complexes de dimension 7



Downloads per month over past year

Ancochea Bermúdez, José María and Goze, Michel (1989) Classification des algèbres de Lie nilpotentes complexes de dimension 7. Archiv der Mathematik, 52 (2). pp. 175-185. ISSN 0003-889X

[thumbnail of Parte1_Principal.pdf] PDF
Restringido a Repository staff only


Official URL:


The authors give a complete list of the 7-dimensional complex nilpotent Lie algebras. This classification is obtained by using an invariant of nilpotent Lie algebras, called a characteristic sequence and defined by the maximum of the Segre symbols of the nilpotent linear maps ad x with x in the complement of the derived subalgebra. This invariant was introduced by them in an earlier paper
[C. R. Acad. Sci. Paris Ser. I Math. 302 (1986), no. 17, 611–613; in which they determined the nilpotent complex Lie algebras corresponding to the characteristic sequences (6, 1) and (5, 1, 1). The paper under review contains no proofs; for details the authors refer to another article [the authors, “Classification des algebres de Lie nilpotentes de dimension 7”, Univ. Louis Pasteur, Strasbourg, 1986; per bibl.].

Item Type:Article
Subjects:Sciences > Mathematics > Algebra
ID Code:21156
Deposited On:29 Apr 2013 17:42
Last Modified:12 Dec 2018 15:13

Origin of downloads

Repository Staff Only: item control page