Lie Groups

  • Arkadij L. Onishchik
  • Ernest B. Vinberg
Part of the Springer Series in Soviet Mathematics book series (SSSOV)


Here the notions of the differentiable (smooth) manifold, differentiate (smooth) map, direct product of differentiable manifolds, tangent space and the differential of a map (the tangent map) are assumed to be known. Several other notions and theorems on differentiable manifolds will be recalled in the sequel.


Semidirect Product Trivial Bundle Differentiable Manifold Differentiable Structure Tangent Algebra 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Arkadij L. Onishchik
    • 1
  • Ernest B. Vinberg
    • 2
  1. 1.Department of MathematicsYaroslavl UniversityYaroslavlUSSR
  2. 2.Moscow UniversityMoscowUSSR

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