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This course is devoted to the theory of Lie Groups with emphasis on its connections with Differential Geometry.
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English
English [CC]
FREE
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Description
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 content
- 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
Instructor
Massachusetts Institute of Technology
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