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Sur la réductibilité de la variété des algèbres de Lie nilpotentes complexes
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hakimjanov, Yu. Bermúdez, J. M. Ancochea Goze, Michel |
| Copyright Year | 1991 |
| Abstract | Let Nn be the variety of nilpotent Lie algebra laws of a given complex vector space Cn. M. Vergne showed ["Variete des algebres de Lie nilpotentes'', These de 3eme cycle, Spec. 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. |
| Starting Page | 59 |
| Ending Page | 62 |
| Page Count | 4 |
| File Format | PDF HTM / HTML |
| Volume Number | 313 |
| Alternate Webpage(s) | https://eprints.ucm.es/21123/1/ancochea29.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
