The Grothendieck Festschrift pp 57-81
Symmetric Spaces over a Finite Field
Let G be a (connected) reductive group defined over a finite field Fq (q odd) with a given involution θ:G → G defined over Fq. The pair (G, θ) will be called a symmetric space (over Fq), we shall fix a closed subgroup K of the fixed point set Gθ such that K is defined over Fq and K contains the identity component (Gθ)0 of Gθ.
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