Courses:

Course Info

• Course Number / Code:
• 18.755 (Fall 2004) 
• Course Title:
• Introduction to Lie Groups 
• Course Level:
• Graduate 
• Offered by :
• Massachusetts Institute of Technology (MIT)
  Massachusetts, United States  
• Department:
• Mathematics 
• Course Instructor(s):
• Prof. Sigurdur Helgason
   
• Course Introduction:
•  
• 
  
  18.755 Introduction to Lie Groups
  
  
  
  

  Fall 2004

  
  
  

  
  
  

  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.