SO(r+2, r) pure spinors

Benn, Ian and Tucker, Robin (1986) SO(r+2, r) pure spinors. Reports on Mathematical Physics, 24 (2). pp. 241-256. ISSN 0034-4877

Abstract

Chevalley gave a comprehensive treatment of pure spinors for Clifford algebras whose quadratic form has maximal index. We here show how the notion of pure spinor can be extended to the real Clifford algebras associated with quadratic forms with r+2 positive and r negative eigenvalues.