The classification of spinors under 𝐺𝑆𝑝𝑖𝑛₁₄ over finite fields

Abstract

Abstract. The spinors of a 14-dimensional vector space V are studied with respect to the group GSpin14 of the 14-dimensional vector space V over finite fields Fg . Results are given as follows: ( 1 ) the decomposition of the space of spinors into GSpin14-equivalence classes or "orbits" over F9 , (2) the structure of the fixer of GSpin)4 for each orbit as an ¥q -group.