An Introduction to Spinors and Geometry with Applications in PhysicsThis graduate textbook dealing with the modern mathematical techniques of differential geometry and Clifford algebras is written with students of theoretical physics in mind. |
Contents
Clifford Algebras and Spinors | 21 |
Pure Spinors and Triality | 106 |
Manifolds | 123 |
Copyright | |
8 other sections not shown
Common terms and phrases
adjoint involution arbitrary associated automorphism b₁ bilinear called centre chart Clifford algebra Clifford bundle Clifford group commutes complex conjugation connection coordinates covariant derivative curvature defined definition denote diffeomorphism differential forms dimensions division algebra dual element equivalent Euclidean example exterior algebra follows functions given gives hence Hermitian idempotent identity induces integral curves involution irreducible representations isometry isomorphic Killing vector left ideal Lie derivative manifold matrix basis minimal left ideal Minkowski multiplication Newtonian nilpotent orthogonal p-forms P₁ parallel parametrised primitive pseudo-Riemannian pure spinors quaternion Riemannian satisfies semi-simple semi-spinor Similarly simple components smooth spacetime spin-invariant product spinor bundle spinor fields spinor product spinor space stress tensor structure subalgebra subgroup symmetric tangent vector tensor field tensor product timelike topological torsion transformation vector field vector space zero ξη