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The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104 Book

The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104
The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104, This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne, The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104 has a rating of 3 stars
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The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104, This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne, The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104
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  • The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104
  • Written by author Vogan
  • Published by Springer-Verlag New York, LLC, May 1992
  • This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne
  • This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne
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Authors

Acknowledgments
Index of notation
1Introduction1
2Structure theory: real forms28
3Structure theory: extended groups and Whittaker models41
4Structure theory: L-groups47
5Langlands parameters and L-homomorphisms55
6Geometric parameters64
7Complete geometric parameters and perverse sheaves82
8Perverse sheaves on the geometric parameter space98
9The Langlands classification for tori105
10Covering groups and projective representations113
11The Langlands classification without L-groups120
12Langlands parameters and Cartan subgroups139
13Pairings between Cartan suhgroups and the proof of Theorem 10.4147
14Proof of Propositions 13.6 and 13.8157
15Multiplicity formulas for representations167
16The translation principle, the Kazhdan-Lusztig algorithm, and Theorem 1.24175
17Proof of Theorems 16.22 and 16.24189
18Strongly stable characters and Theorem 1.29205
19Characteristic cycles, micro-packets, and Corollary 1.32212
20Characteristic cycles and Harish-Chandra modules222
21The classification theorem and Harish-Chandra modules for the dual group234
22Arthur parameters239
23Local geometry of constructible sheaves248
24Microlocal geometry of perverse sheaves252
25A fixed point formula266
26Endoscopic lifting275
27Special unipotent representations295
References311
Index315


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The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104, This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne, The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104

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The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104, This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne, The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104

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The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104, This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne, The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104

The Langlands Classification And Irreducible Characters For Reductive Groups, Vol. 104

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