ON REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS IN QUATERNION ALGEBRAS
ON REPRESENTATIONS OF 2-BRIDGE KNOT GROUPS IN QUATERNION ALGEBRAS
Representations of two bridge knot groups in the isometry group of some complete Riemannian 3-manifolds as E 3 (Euclidean 3-space), H 3 (hyperbolic 3-space) and E 2, 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 …