Título:
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Sur la variété des lois d'algèbres de Lie nilpotentes complexes
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Autores:
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Ancochea Bermúdez , José María ;
Goze, Michel
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Tipo de documento:
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texto impreso
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Editorial:
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Università di Cagliari, 1989
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Álgebra
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Tipo = Artículo
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Resumen:
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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 .
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