Description
Book SynopsisBased on the "Hermann Weyl Lectures" given at the Institute for Advanced Study in January 1986. This title outlines some of what is known about irreducible unitary representations of real reductive groups, providing definitions and references, and sketches of most proofs.
Table of Contents*Frontmatter, pg. i*CONTENTS, pg. vii*ACKNOWLEDGEMENTS, pg. ix*INTRODUCTION, pg. 1*Chapter 1. COMPACT GROUPS AND THE BOREL-WEIL THEOREM, pg. 19*Chapter 2. HARISH-CHANDRA MODULES, pg. 50*Chapter 3. PARABOLIC INDUCTION, pg. 62*Chapter 4. STEIN COMPLEMENTARY SERIES AND THE UNITARY DUAL OF GL(n,C), pg. 82*Chapter 5. COHOMOLOGICAL PARABOLIC INDUCTION: ANALYTIC THEORY, pg. 105*Chapter 6. COHOMOLOGICAL PARABOLIC INDUCTION: ALGEBRAIC THEORY, pg. 123*Interlude. THE IDEA OF UNIPOTENT REPRESENTATIONS, pg. 159*Chapter 7. FINITE GROUPS AND UNIPOTENT REPRESENTATIONS, pg. 164*Chapter 8. LANGLANDS' PRINCIPLE OF FUNCTORIALITY AND UNIPOTENT REPRESENTATIONS, pg. 185*Chapter 9. PRIMITIVE IDEALS AND UNIPOTENT REPRESENTATIONS, pg. 211*Chapter 10. THE ORBIT METHOD AND UNIPOTENT REPRESENTATIONS, pg. 235*Chapter 11. E-MULTIPLICITIES AND UNIPOTENT REPRESENTATIONS, pg. 258*Chapter 12. ON THE DEFINITION OF UNIPOTENT REPRESENTATIONS, pg. 284*Chapter 13. EXHAUSTION, pg. 290*REFERENCES, pg. 302*Backmatter, pg. 309
