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Abstract: . We classify maximal strongly orthogonal subsets (= MSOS's) in irreducible root systems under the action of Weyl groups, including non-reduced cases. We show that among irreducible root systems, Bn (n = even), Cn (n # 2), F4 and BCn (n # 1) admit several inequivalent MSOS's. As an application of this result, we give a classification of MSOS's associated with Riemannian symmetric pairs. 0. Introduction In our paper [1], in order to solve a geometric problem concerning on the existence of... (Update)
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BibTeX entry: (Update)
@misc{ agaoka-strongly,
author = "Yoshio Agaoka and Eiji Kaneda",
title = "Strongly Orthogonal Subsets In Root Systems",
url = "citeseer.ist.psu.edu/401829.html" }
Citations (may not include all citations):242 Groupes et Algebre de Lie (context) - Bourbaki - 1968
87 and Symmetric Spaces (context) - Helgason, erential et al. - 1978
25 Lie Groups Beyond an Introduction (context) - Knapp - 1996
6 Conjugate classes of Cartan subalgebras in real semisimple L.. (context) - Sugiura - 1959
4 On local isometric immersions of Riemannian symmetric spaces (context) - Agaoka, Kaneda - 1984
4 Geometriae Dedicata (context) - imbeddings, groups - 1998
4 Hiroshima Math (context) - on, of et al. - 1994
3 On root systems and an infinitesimal classification of irred.. (context) - Araki - 1962
3 On orbit structure of compactifications of parahermitian sym.. (context) - Kaneyuki - 1987
1 Polynomial representations associated with symmetric bounded.. (context) - Takeuchi - 1973
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