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Describes orthogonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric
definition of these mathematical entities. Covers generalities on the group of
rotations in n-dimensional space, the theory of spinors in spaces of any number
of dimensions and much more.
Table Of Contents
FOREWORD
INTRODUCTION
PART I
Spinors in Three-dimensional Space
Linear Representations of the Group of Rotations
CHAPTER I. n-DIMENSIONAL EUCLIDEAN SPACE; ROTATIONS AND REVERSALS
CHAPTER II. TENSORS; LINEAR REPRESENTATIONS OF GROUPS; MATRICES
CHAPTER III. SPINORS IN THREE-DIMENSIONAL SPACE
CHAPTER IV. LINEAR REPRESENTATIONS OF THE GROUP OF ROTATIONS IN E3
PART II
Spinors in Space of n > 3 Dimensions
Spinors in Riemannian Geometry
CHAPTER V. SPINORS IN THE SPACE E2v + 1
CHAPTER VI. SPINORS IN THE SPACE E2l'
CHAPTER VII. SPINORS IN THE SPACE OF SPECIAL RELATIVITY (MINKOWSKI SPACE).
DIRAC'S EQUATIONS
CHAPTER VIII. LINEAR REPRESENTATIONS OF THE LORENTZ GROUP
CHAPTER IX. SPINORS AND DIRAC'S EQUATIONS IN RIEMANNIAN GEOMETRY
Describes orthogonal and related Lie groups, using real or complex parameters and indefinite metrics. Develops theory of spinors by giving a purely geometric
definition of these mathematical entities. Covers generalities on the group of
rotations in n-dimensional space, the theory of spinors in spaces of any number
of dimensions and much more.
Table Of Contents
FOREWORD
INTRODUCTION
PART I
Spinors in Three-dimensional Space
Linear Representations of the Group of Rotations
CHAPTER I. n-DIMENSIONAL EUCLIDEAN SPACE; ROTATIONS AND REVERSALS
CHAPTER II. TENSORS; LINEAR REPRESENTATIONS OF GROUPS; MATRICES
CHAPTER III. SPINORS IN THREE-DIMENSIONAL SPACE
CHAPTER IV. LINEAR REPRESENTATIONS OF THE GROUP OF ROTATIONS IN E3
PART II
Spinors in Space of n > 3 Dimensions
Spinors in Riemannian Geometry
CHAPTER V. SPINORS IN THE SPACE E2v + 1
CHAPTER VI. SPINORS IN THE SPACE E2l'
CHAPTER VII. SPINORS IN THE SPACE OF SPECIAL RELATIVITY (MINKOWSKI SPACE).
DIRAC'S EQUATIONS
CHAPTER VIII. LINEAR REPRESENTATIONS OF THE LORENTZ GROUP
CHAPTER IX. SPINORS AND DIRAC'S EQUATIONS IN RIEMANNIAN GEOMETRY
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