Clifford multiplication (source code)

= Clifford multiplication
{c}
{title2=$c(v)c(w)+c(w)c(v)=-2\langle v,w\rangle$}

Clifford multiplication is the action of a <Clifford algebra> on a <module>. The displayed relation uses the negative <Riemannian metric> convention; in a compatible <Hermitian inner product>, $c(v)^*=-c(v)$ for real $v$. Another convention writes $C(v)=ic(v)$, giving self-adjoint generators with positive anticommutator. Switching between these conventions switches a geometric <Dirac operator> between self-adjoint and skew-adjoint realizations.