Unitary representations of real reductive groups

✍ Scribed by Marc AA van Leeuwen; Jeffrey Adams; Peter E. Trapa; David A. Vogan

Year: 2020
Tongue: English
Leaves: 188
Series: Astérisque
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

Index of notation
Chapter 1. First introduction
Chapter 2. Nonunitary representations
Chapter 3. Real reductive groups
Chapter 4. Maximal tori
Chapter 5. Coverings of tori
Chapter 6. Langlands classification and the nonunitary dual
Chapter 7. Second introduction: the shape of the unitary dual
Chapter 8. Hermitian forms on (h,L(C))-modules
Chapter 9. Interlude: realizing standard modules
Chapter 10. Invariant forms on irreducible representations
Chapter 11. Standard and c-invariant forms in the equal rank case
Chapter 12. Twisting by the Cartan involution
Chapter 13. Langlands parameters for extended groups
Chapter 14. Jantzen filtrations and Hermitian forms
Chapter 15. Signature characters for c-invariant forms
Chapter 16. Translation functors: first facts
Chapter 17. Translation functors for extended groups
Chapter 18. Kazhdan-Lusztig polynomials for characters
Chapter 19. Kazhdan-Lusztig polynomials for extended groups
Chapter 20. Kazhdan-Lusztig polynomials for c-invariant forms
Chapter 21. Deformation to =0
Chapter 22. Example: Hermitian forms for SL(2,C)
Bibliography

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