Introduction to Lie Groups

Representation of the adjoint group.

The adjoint group. (Image by Prof. Sigurdur Helgason.)


MIT Course Number


As Taught In

Fall 2004



Cite This Course

Course Features

Course 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.

Sigurdur Helgason. 18.755 Introduction to Lie Groups, Fall 2004. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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