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Título:
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Classification of minimal algebras over any field up to dimension 6.
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Autores:
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Bazzoni, Giovanni ;
Muñoz, Vicente
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Tipo de documento:
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texto impreso
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Editorial:
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American Mathematical Society, 2012
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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We give a classification of minimal algebras generated in degree 1, defined over any field k of characteristic different from 2, up to dimension 6. This recovers the classification of nilpotent Lie algebras over k up to dimension 6. In the case of a field k of characteristic zero, we obtain the classification of nilmanifolds of dimension less than or equal to 6, up to k-homotopy type. Finally, we determine which rational homotopy types of such nilmanifolds carry a symplectic structure.
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En línea:
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https://eprints.ucm.es/id/eprint/16956/1/VMu%C3%B1oz02.pdf
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