%0 Journal Article
%A Hilden, Hugh Michael
%A Lozano Imízcoz, María Teresa
%A Montesinos Amilibia, José María
%T On representations of 2-bridge knot groups in quaternion algebras.
%D 2011
%@ 0218-2165
%U https://hdl.handle.net/20.500.14352/43832
%X 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.
%~