On a theorem of E. Cartan
B. Морозов (1943)
Matematiceskij sbornik
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Displaying similar documents to “Canonical representation of automorphisms of a complex semisimple Lie group.”
On a theorem of E. Cartan
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Fındık, Şehmus (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: 17B01, 17B30, 17B40, 16R30. Let Fm = Fm(var(sl2(K))) be the relatively free algebra of rank m in the variety of Lie algebras generated by the algebra sl2(K) over a field K of characteristic 0. Our results are more precise for m = 2 when F2 is isomorphic to the Lie algebra L generated by two generic traceless 2 × 2 matrices. We give a complete description of the group of outer automorphisms of the completion L^ of L with respect to...
Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras
Fιndιk, Şehmus (2010)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 17B01, 17B30, 17B40. Let Lm,c be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0. An automorphism φ of Lm,c is called normal if φ(I) = I for every ideal I of the algebra Lm,c. Such automorphisms form a normal subgroup N(Lm,c) of Aut (Lm,c) containing the group of inner automorphisms. We describe the group of normal automorphisms of Lm,c and the quotient group of Aut (Lm,c) modulo N(Lm,c). ...
Автоморфизмы пар квадрик в проектном пространстве. II
С.Л. Певзнер (1967)
Sibirskij matematiceskij zurnal
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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,...