Displaying similar documents to “The outer automorphism group of normalizers of maximal tori in connected compact Lie groups.”

Weyl Groups of Fine Gradings on Simple Lie Algebras of Types A, B, C and D

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,...

N-determined 2-compact groups. II

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...