Geodesic
Invariant Ordering on the Simply Connected Covering of the Shilov Boundary of a Symmetric Domain
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 1, pp. 33-38

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The Shilov boundary of a symmetric domain $D=G/K$ of tube type has the form $G/P$, where $P$ is a maximal parabolic subgroup of the group $G$. We prove that the simply connected covering of the Shilov boundary possesses a unique (up to inversion) invariant ordering, which is induced by the continuous invariant ordering on the simply connected covering of $G$ and can readily be described in terms of the corresponding Jordan algebra.
Mots-clés : invariant cone
Keywords: invariant ordering, Lie semigroup. 
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     author = {A. L. Konstantinov},
     title = {Invariant {Ordering} on the {Simply} {Connected} {Covering} of the {Shilov} {Boundary} of a {Symmetric} {Domain}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {33--38},
     publisher = {mathdoc},
     volume = {42},
     number = {1},
     year = {2008},
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     url = {http://geodesic.mathdoc.fr/item/FAA_2008_42_1_a2/}
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A. L. Konstantinov. Invariant Ordering on the Simply Connected Covering of the Shilov Boundary of a Symmetric Domain. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 1, pp. 33-38. http://geodesic.mathdoc.fr/item/FAA_2008_42_1_a2/