RT Journal Article
T1 Sur la classification des algèbres de Lie nilpotentes de dimension 7
A1 Ancochea Bermúdez, José María
A1 Goze, Michel
AB The authors give an approach to the classification of 7-dimensional nilpotent algebras. They illustrate the use of the invariant of nilpotent Lie algebras, called characteristic sequence, and defined by the maximum of the ordered sequences of the similitude exponents of the nilpotent operators ad X with X in the complementary of the first derived algebra. The classification described in this paper is given by considering a fixed characteristic sequence. To illustrate this approach, one gives the classification of 7-dimensional complex nilpotent Lie algebras corresponding to the following sequences: (6,1) (filiforme case) and (5,1,1). Other cases and the complete proofs are given in a preprint edited by I.R.M.A Strasbourg (France).
PB Elsevier
SN 0764-4442
YR 1986
FD 1986
LK https://hdl.handle.net/20.500.14352/64823
UL https://hdl.handle.net/20.500.14352/64823
LA fra
DS Docta Complutense
RD 27 abr 2024