The course Introduction to the Orbit method is taught in the Spring-Fall of 1998.

First semester covers the preliminary material ( smooth manifold, differential forms, Lie groups and their representations).
Second semester gives the exposition of the Orbit method, which provides the unified approach to representation theory of diverse kinds of Lie groups.

You can download materials for the first semester from the links below.
 
  Beta version (in .pdf format ) can be obtained here.

Alpha version of the materials for the course:

• Lecture 0
• Lecture 1
• Lecture 2
• Lecture 3
• Lecture 4(preliminary version)
• Lecture 5(preliminary version)
• Lecture 6(preliminary version)
• Lecture 7(preliminary version)
• Lecture 8(preliminary version)
• Lecture 9(preliminary version)
• Lecture 10(preliminary version)
• ...