Involutions on a compact 4-symmetric space of exceptional type

Let (G/H, \sigma) be a compact 4-symmetric space of inner and exceptional type. Suppose that the dimension of the center of H is one and H is not a centralizer of a toral subgroup of G. In this paper we shall classify the involution \tau of G satisfying \tau \circ \sigma = \sigma \circ \tau.

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Veröffentlicht in:Osaka journal of mathematics 2015-10, Vol.52 (no. 4), p.1101-1125
Hauptverfasser: Kurihara, Hiroyuki, Tojo, Koji
Format: Artikel
Sprache:eng
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Zusammenfassung:Let (G/H, \sigma) be a compact 4-symmetric space of inner and exceptional type. Suppose that the dimension of the center of H is one and H is not a centralizer of a toral subgroup of G. In this paper we shall classify the involution \tau of G satisfying \tau \circ \sigma = \sigma \circ \tau.