Spin-Clifford Bundles and Spin Connections on the Hyperbolic Clifford Algebra - Part I

We develop the theory of spinor fields associated with the hyperbolic Clifford algebra $\mathbb{R}^{H}=\mathcal{C}\ell(H_V)$, which is associated with hyperbolic space $H_V=V\oplus V^{*}$. Algebraically, we exhibit an explicit real primitive idempotent which, unlike the Lorentzian case, remains prim