On the varieties of nilpotent Lie algebras of dimension 7 and 8

Let Nn be the variety of n-dimensional complex nilpotent Lie algebras. We know that this algebraic variety is reducible for n≥11 and irreducible for n≤6. In this work we prove that N7 is composed of two algebraic components and that N8 is also reducible

Detalles Bibliográficos
Autores: Goze, Michel, Ancochea Bermúdez, José María
Tipo de recurso: artículo
Fecha de publicación:1992
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/58430
Acceso en línea:https://hdl.handle.net/20.500.14352/58430
Access Level:acceso abierto
Palabra clave:512.554.3
Álgebra
1201 Álgebra
Descripción
Sumario:Let Nn be the variety of n-dimensional complex nilpotent Lie algebras. We know that this algebraic variety is reducible for n≥11 and irreducible for n≤6. In this work we prove that N7 is composed of two algebraic components and that N8 is also reducible