Rigidity Properties of Compact Lie Groups Modulo Maximal Tori.
Stefan Papadima (1986)
Mathematische Annalen
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Stefan Papadima (1986)
Mathematische Annalen
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Elduque, Alberto, Kochetov, Mikhail (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 17B70, secondary 17B40, 16W50. Given a grading Γ : L ⨁ = g ∈ G L g on a nonassociative algebra L by an abelian group G, we have two subgroups of Aut(L): the automorphisms that stabilize each component L g (as a subspace) and the automorphisms that permute the components. By the Weyl group of Γ we mean the quotient of the latter subgroup by the former. In the case of a Cartan decomposition of a semisimple complex Lie algebra,...
Tevelev, E.A. (2000)
Journal of Lie Theory
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Herbert Abels (1981)
Journal für die reine und angewandte Mathematik
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Dietrich Notbohm, Larry Smith (1990)
Mathematische Annalen
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S.G. Dani (1992)
Manuscripta mathematica
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Dietrich Notbohm, Larry Smith (1991)
Mathematische Annalen
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Dietrich Notbohm, Larry Smith (1990)
Mathematische Annalen
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Dietrich Notbohm (1992)
Mathematische Annalen
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Neeb, Karl-Hermann (1996)
Journal of Lie Theory
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Frederick P. Greenleaf, Martin Moskowitz, Linda Preiss-Rothschild (1974)
Mathematische Annalen
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Priwitzer, Barbara, Salzmann, Helmut (1998)
Journal of Lie Theory
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Benayed, Miloud, Souidi, El Mamoun (1998)
The New York Journal of Mathematics [electronic only]
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Jesper M. Møller (2007)
Fundamenta Mathematicae
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This is the second part of a paper about the classification of 2-compact groups. In the first part we set up a general classification procedure and applied it to the simple 2-compact groups of the A-family. In this second part we deal with the other simple Lie groups and with the exotic simple 2-compact group DI(4). We show that all simple 2-compact groups are uniquely N-determined and conclude that all connected 2-compact groups are uniquely N-determined. This means that two connected...