2007/05/22 by Marc Bellon, Bellon, Marc P.
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.0705.3241
openalex publication_date 2007/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In his famous book, Felix Klein describes a complex variable for the quotients of the ordinary sphere by the finite groups of rotations and in particular for the most complex situation of the quotient by the symmetry group of the icosahedron. The purpose of this work and its sequels is to obtain similar results for the quotients of the three--dimensional sphere. Various properties of the group SU(2) and of its representations are used to obtain explicit expressions for coordinates and the relations they satisfy.