RT Journal Article
T1 Sur la réductibilité de la variété des algèbres de Lie nilpotentes complexes
A1 Hakimjanov, Yu. B.
A1 Ancochea Bermúdez, José María
A1 Goze, Michel
AB Let Nn be the variety of nilpotent Lie algebra laws of a given complex vector space Cn. M. Vergne showed ["Variété des algèbres de Lie nilpotentes'', Thèse de 3ème cycle, Spéc. Math., Paris, 1966; BullSig(110) 1967:299; Bull. Soc. Math. France 98 (1970), 81–116; that Nn is irreducible for n≤6 and has at least two components for n=7 and n≥11. In this note, the authors prove the reducibility of Nn for n=8,9,10, thus answering affirmatively a question of Vergne. The last part of this work improves results of Vergne concerning some components of Nn, for n≥11.
PB Elsevier
SN 0764-4442
YR 1991
FD 1991
LK https://hdl.handle.net/20.500.14352/58437
UL https://hdl.handle.net/20.500.14352/58437
LA fra
DS Docta Complutense
RD 10 abr 2025