Symmetric Spaces over a Finite Field

  • George Lusztig
Part of the Progress in Mathematics book series (MBC, volume 88)


Let G be a (connected) reductive group defined over a finite field F q (q odd) with a given involution θ:GG 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 .


Symmetric Space Finite Field Reductive Group Maximal Torus Closed Subgroup 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • George Lusztig
    • 1
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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