Pure spinors and a construction of the $E_{\ast }$-Lie algebras

Marcus Slupinski, Robert Stanton

Let $(V,g)$ be a $2n$-dimensional hyperbolic space and $C(V,g)$ its Clifford algebra. $C(V,g)$ has a $\mathbb{Z}$-grading, $C^k$, and an algebra isomorphism $C(V,g)\cong End(S)$, $…