Spinor Structures in Geometry & Physics

Introduction; Introductory Remarks; On the Geometry of Spaces & Spinor Structure; Spinor Structure. KustaanheimoStiefel & Hopf Bundles; The Spin Covering for the Full Lorentz Group & the Concept of Fermion Parity; Spinor Space Structure & Solutions of KleinFockGordon Equation; Fermion in Riemannian Space-Time; Polarization Optics & 2-Spinors; Polarization Optics & 4-spinors; Transitivity for the Lorentz Group & Polarization Optics; Parameters of Lorentz Matrices & Transitivity in Polarization Optics; Factorizations for 3-Rotations & the Polarization of the Light; On the Determining of Mueller Matrices from Polarization Measurements; Elementary Constituents of the Group SL(4,R) & Mueller Matrices; Degenerate 4-Dimensional Matrices with Semi-Group Structure; Degenerate Mueller Matrices, Semigroups & Projective Geometry; Diagonalization of Quadratic Forms & the Mueller Formalism; Finsler-Type Structures & Det-Based Classification of Mueller manifolds; Index.