2026-07-31T04:41:26Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/438322023-08-28T00:09:22Zcom_20.500.14352_14col_20.500.14352_15
On representations of 2-bridge knot groups in quaternion algebras.
Hilden, Hugh Michael
Lozano Imízcoz, María Teresa
Montesinos Amilibia, José María
515.162.8
Quaternion algebra
representation
knot group
Geometria algebraica
1201.01 Geometría Algebraica
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.
MTM2007-67908-C02-01 and MTM2010-21740-C02-02.
MTM2006-00825 and MTM2009-07030.
Depto. de Álgebra, Geometría y Topología
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-20T03:32:58Z
2023-06-20T03:32:58Z
2011-10-10
journal article
https://hdl.handle.net/20.500.14352/43832
0218-2165
10.1142/S0218216511009224
eng
2007-67908-C02-01
2010-21740-C02-02
2006-00825
2009-07030
restricted access
application/pdf
World Scientific PublCo