Abstract
Let G be a (connected) reductive group defined over a finite field F q (q odd) with a given involution θ:G → G defined over F q. The pair (G, θ) will be called a symmetric space (over F q), we shall fix a closed subgroup K of the fixed point set G θ such that K is defined over F q and K contains the identity component (G θ)0 of Gθ.
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References
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Dedicated to A. Grothendieck on his 60th birthday
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Lusztig, G. (2007). Symmetric Spaces over a Finite Field. In: Cartier, P., Illusie, L., Katz, N.M., Laumon, G., Manin, Y.I., Ribet, K.A. (eds) The Grothendieck Festschrift. Modern Birkhäuser Classics, vol 88. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4576-2_3
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DOI: https://doi.org/10.1007/978-0-8176-4576-2_3
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