RT Journal Article
T1 Sur la variété des lois d'algèbres de Lie nilpotentes complexes
A1 Ancochea Bermúdez, José María
A1 Goze, Michel
AB Let N i   be the variety of laws of i -dimensional nilpotent complex Lie algebras, N ˜  i   the quotient space of orbits under the canonical action of the full linear group and U i ⊂N i   the open subset composed of filiform Lie algebras. M. Vergne determined U 7   and showed that N i   is reducible for i=7  and i≥11 . In a previous paper the authors proved that U ˜  8   and N ˜  8   are unions of points and lines. In this note they study N 9   and choose in U 9   four continuous families with two parameters. One may ask whether each of these families generates a component of N 9  . However, it seems that the authors may give a positive answer to the problem of reducibility for N i  , 8≤i≤10 .
PB Università di Cagliari
SN 0370-727X
YR 1989
FD 1989
LK https://hdl.handle.net/20.500.14352/58447
UL https://hdl.handle.net/20.500.14352/58447
DS Docta Complutense
RD 11 abr 2025