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.
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© 2000 Springer Science+Business Media New York
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Kaneyuki, S. (2000). Symmetric R-Spaces. In: Analysis and Geometry on Complex Homogeneous Domains. Progress in Mathematics, vol 185. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1366-6_10
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DOI: https://doi.org/10.1007/978-1-4612-1366-6_10
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-7115-4
Online ISBN: 978-1-4612-1366-6
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