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This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry.

FREE
This course includes
Hours of videos

166 years, 7 months

Units & Quizzes

6

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Certificate of Completion

The text for this class is Differential Geometry, Lie Groups and Symmetric Spaces by Sigurdur Helgason (American Mathematical Society, 2001).

Much of the course material is based on Chapter I (first half) and Chapter II of the text. The text however develops basic Riemannian Geometry, Complex Manifolds, as well as a detailed theory of Semisimple Lie Groups and Symmetric Spaces.

Course Currilcum

  • Preface Unlimited
  • Elementary Differential Geometry Unlimited
  • Lie Groups and Lie Algebras Unlimited
  • Exercises and Further Results Unlimited
  • Exercises and Further Results Unlimited
  • Solutions to Exercises Unlimited