Table of Contents
Table of Contents
Introduction
1. Introductory Remarks
2. On the Geometry of Spaces and Spinor Structure
3. Spinor Structure. Kustaanheimo–Stiefel and Hopf Bundles
4. The Spin Covering for the Full Lorentz Group and the Concept of Fermion
Parity
5. Spinor Space Structure and Solutions of Klein–Fock–Gordon Equation
6. Fermion in Riemannian Space-Time
7. Polarization Optics and 2-Spinors
8. Polarization Optics and 4-spinors
9. Transitivity for the Lorentz Group and Polarization Optics
10. Parameters of Lorentz Matrices and Transitivity in Polarization Optics
11. Factorizations for 3-Rotations and the Polarization of the Light
12. On the Determining of Mueller Matrices from Polarization Measurements
13. Elementary Constituents of the Group SL(4,R) and Mueller Matrices
14. Degenerate 4-Dimensional Matrices with Semi-Group Structure
15. Degenerate Mueller Matrices, Semigroups and Projective Geometry
16. Diagonalization of Quadratic Forms and the Mueller Formalism
17. Finsler-Type Structures and Det-Based Classification of Mueller manifolds
Bibliography
Index