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Last updated:

November 7, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

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

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 Curriculum

  • 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

About the instructor

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Massachusetts Institute of Technology