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Título:
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Composition algebras and the two faces of G2
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Autores:
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Boya, Luis J. ;
Campoamor Stursberg, Otto Ruttwig
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Tipo de documento:
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texto impreso
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Editorial:
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World Scientific, 2010
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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/openAccess
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Idiomas:
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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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We consider composition and division algebras over the real numbers: We note two roles for the group G2: as automorphism group of the octonions and as the isotropy group of a generic 3-form in 7 dimensions. We show why they are equivalent, by means of a regular metric. We express in some diagrams the relation between some pertinent groups, most of them related to the octonions. Some applications to physics are also discussed.
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En línea:
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https://eprints.ucm.es/id/eprint/20883/1/Campoamor-Composition.pdf
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