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Título:
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On representations of 2-bridge knot groups in quaternion algebras.
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Autores:
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Hilden, Hugh Michael ;
Lozano Imízcoz, María Teresa ;
Montesinos Amilibia, José María
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Tipo de documento:
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texto impreso
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Editorial:
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World Scientific PublCo, 2011-10-10
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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: Geometria algebraica
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Tipo = Artículo
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Resumen:
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Representations of two bridge knot groups in the isometry group of some complete Riemannian 3-manifolds as E3 (Euclidean 3-space), H3 (hyperbolic 3-space) and E2, 1 (Minkowski 3-space), using quaternion algebra theory, are studied. We study the different representations of a 2-generator group in which the generators are send to conjugate elements, by analyzing the points of an algebraic variety, that we call the variety of affine c-representations ofG. Each point in this variety corresponds to a representation in the unit group of a quaternion algebra and their affine deformations.
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En línea:
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https://eprints.ucm.es/id/eprint/21529/1/Montesinos34.pdf
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