These notes arose from a series of lectures given by the author at a CBMS Regional Conference held at Madison, Wisconsin, in August 1977. The conference was supported by the National Science Foundation.

The main purpose of the notes was to show how \(l\)-adic cohomology of algebraic varieties over fields of characteristic \(p>1\) can be used to get information on the representations of finite Chevalley groups

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Reviews

"By publishing this monograph, the author has served the mathematical community well. He has given a clear and concise account of the present state of the art of representation theory of finite Chevalley groups, and has hinted at directions of further research, especially on the subject of unipotent representations."

-- David B. Surowski, Mathematical Reviews

Table of Contents

• Introduction
• Preliminaries
• The characters \(R^G_T(\theta)\)
• Unipotent representations
• Some open problems
• Bibliography