18.755 Introduction to Lie Groups

Fall 2004

Representation of the adjoint group.
The adjoint group. (Image by Prof. Sigurdur Helgason.)

Course Highlights

This course features lecture notes, assignments, and study materials.

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.

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Prof. Sigurdur Helgason

Course Meeting Times

Two sessions / week
1.5 hours / session