Wojciech Kopczy
Pure Spinors in Odd Dimensions
The paper is published: Classical Quantum Gravity 14, 1A (1997) A227-A236

MSC:

15A66 Clifford algebras, spinors

Abstract: The paper [1] contains description of pure (simple) spinors in a complex
vector space; this particularly simple approach uses extensively Fock bases of the
underlying vector space. The paper [2] describes pure spinors in a complexified
vector space using a complexified version of Fock bases, better known in
relativity theory as null bases, and introducing an important notion of real
index. Both these papers concern spinors in an even--dimensional vector space.
The present paper aims at descrption of pure spinors in odd--dimensional
vector spaces; it is complementary to [1] and [2], however in one essential
place (the sufficient conditions for spinor to be pure) it goes beyond
[1], using the Pauli--Kofink type identity found in [3].

Keywords: complexified vector spaces, pure spinors, real index, odd-dimensional vector spaces