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Titlebook: Lie Groups and Lie Algebras I; Foundations of Lie T A. L. Onishchik Book 1993 Springer-Verlag Berlin Heidelberg 1993 YellowSale2006.algebra

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Generalizations of Lie Groupsular, we do not touch on the theory of algebraic groups and topological groups are considered only in connection with Hilbert’s 5th problem. These subjects, naturally, require separate surveys. The same can be said about “infinite” continuous groups (or Lie pseudo-groups), the study of which was ori
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Transitive Actionshere .. is the stabilizer of any point . ∈ . In the differentiable case (see 1.4 of Chap. 1) . is an analytic homogeneous space of the Lie group . and the isomorphism is a diffeomorphism. The . space . is called a . (or a . of the homogeneous space . A group model depends on the choice of the point
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