Spinor Structures
نویسنده
چکیده
1.1. Conventions used throughout. Symmetrisers and antisymmetrisers of tensors are denoted as usual using parentheses and square brackets, so, for example, C(ab) = 1 2 (Cab + Cba), C[ab] = 1 2 (Cab − Cba), and Cab = C(ab) + C[ab]. If G is a Lie group, L(G) denotes its Lie algebra. Ad(g) is the adjoint representation of G on L(G), defined as the derivative of the inner automorphism of G, g′ 7→ Ig(g) = gg′g−1, at the identity. Thus Ad(g) = Ig∗e. All our manifolds are considered to be Hausdorff, and paracompact.
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