Author | Adams, Jeffrey. author |
---|---|
Title | The Langlands Classification and Irreducible Characters for Real Reductive Groups [electronic resource] / by Jeffrey Adams, Dan Barbasch, David A. Vogan |
Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1992 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-0383-4 |
Descript | XII, 320 p. online resource |
1. Introduction -- 2. Structure theory: real forms -- 3. Structure theory: extended groups and Whittaker models -- 4. Structure theory: L-groups -- 5. Langlands parameters and L-homomorphisms -- 6. Geometric parameters -- 7. Complete geometric parameters and perverse sheaves -- 8. Perverse sheaves on the geometric parameter space -- 9. The Langlands classification for tori -- 10. Covering groups and projective representations -- 11. The Langlands classification without L-groups -- 12. Langlands parameters and Cartan subgroups -- 13. Pairings between Cartan subgroups and the proof of Theorem 10.4 -- 14. Proof of Propositions 13.6 and 13.8 -- 15. Multiplicity formulas for representations -- 16. The translation principle, the Kazhdan-Lusztig algorithm, and Theorem 1.24 -- 17. Proof of Theorems 16.22 and 16.24 -- 18. Strongly stable characters and Theorem 1.29 -- 19. Characteristic cycles, micro-packets, and Corollary 1.32 -- 20. Characteristic cycles and Harish-Chandra modules -- 21. The classification theorem and Harish-Chandra modules for the dual group -- 22. Arthur parameters -- 23. Local geometry of constructible sheaves -- 24. Microlocal geometry of perverse sheaves -- 25. A fixed point formula -- 26. Endoscopic lifting -- 27. Special unipotent representations -- References