RT Journal Article
T1 On representations of 2-bridge knot groups in quaternion algebras.
A1 Hilden, Hugh Michael
A1 Lozano Imízcoz, María Teresa
A1 Montesinos Amilibia, José María
AB 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.
PB World Scientific PublCo
SN 0218-2165
YR 2011
FD 2011-10-10
LK https://hdl.handle.net/20.500.14352/43832
UL https://hdl.handle.net/20.500.14352/43832
LA eng
NO MTM2007-67908-C02-01 and MTM2010-21740-C02-02.
NO MTM2006-00825 and MTM2009-07030.
DS Docta Complutense
RD 17 abr 2025