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Classification des algèbres de Lie nilpotentes complexes de dimension 7

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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

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Official URL: http://link.springer.com/article/10.1007%2FBF01191272


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Abstract

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

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