### Impacto

### Downloads

Downloads per month over past year

Ancochea Bermúdez , José María and Goze, Michel
(1989)
*Sur la variété des lois d'algèbres de Lie nilpotentes complexes.*
Rendiconti del Seminario della Facoltà di Scienze dell'Università di Cagliari , 58
(1-2).
pp. 43-48.
ISSN 0370-727X

Official URL: http://unica2.unica.it/~preside/index.php?id=22

## Abstract

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 .

Item Type: | Article |
---|---|

Uncontrolled Keywords: | nilpotent complex Lie algebra; filiform Lie algebras |

Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 21162 |

Deposited On: | 29 Apr 2013 17:53 |

Last Modified: | 12 Dec 2018 15:13 |

### Origin of downloads

Repository Staff Only: item control page