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Symmetric R-Spaces

  • Soji Kaneyuki
Chapter
Part of the Progress in Mathematics book series (PM, volume 185)

Abstract

Let \( g = \sum\nolimits_{k = - v}^v {gk} \)be a real simple GLA of the v-th kind, and (Z, T) be the associated pair. Let G 0 be the group of grade-preserving automorphisms of g. Note that G 0 coincides with the centralizer C(Z)of Z in Aut g, and that Lie G 0 =g0.Let G be the open subgroup of Aut g generated by G 0 and the adjoint group of g: G= G 0Adg,Let U = G 0 exp(g1 + ··· + gv), which is a parabolic subgroup of G.

Keywords

Causal Structure Jordan Algebra Euclidean Jordan Algebra Null Cone Flag Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2000

Authors and Affiliations

  • Soji Kaneyuki
    • 1
  1. 1.Department of MathematicsSophia UniversityTokyoJapan

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