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190802 ||| eng |
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|a 9789811366284
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| 100 |
1 |
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|a Aubert, Anne-Marie
|e [editor]
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| 245 |
0 |
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|a Representations of Reductive p-adic Groups
|h Elektronische Ressource
|b International Conference, IISER, Pune, India, 2017
|c edited by Anne-Marie Aubert, Manish Mishra, Alan Roche, Steven Spallone
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| 250 |
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|a 1st ed. 2019
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| 260 |
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|a Singapore
|b Springer Nature Singapore
|c 2019, 2019
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| 300 |
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|a XIII, 289 p. 4 illus., 3 illus. in color
|b online resource
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| 505 |
0 |
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|a Chapter 1: Introduction to the local Langlands correspondence -- Chapter 2. Arithmetic of cuspidal representations -- Chapter 3. Harmonic analysis and affine Hecke algebras -- Chapter 4. Types and Hecke algebras.
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| 653 |
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|a Group Theory and Generalizations
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| 653 |
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|a Group theory
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| 653 |
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|a Harmonic analysis
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| 653 |
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|a Lie groups
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| 653 |
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|a Topological Groups and Lie Groups
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| 653 |
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|a Topological groups
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| 653 |
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|a Abstract Harmonic Analysis
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| 700 |
1 |
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|a Mishra, Manish
|e [editor]
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| 700 |
1 |
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|a Roche, Alan
|e [editor]
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| 700 |
1 |
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|a Spallone, Steven
|e [editor]
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
0 |
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|a Progress in Mathematics
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| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-981-13-6628-4?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
0 |
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|a 512.482
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| 082 |
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|a 512.55
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| 520 |
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|a This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell–Kutzko’s construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike
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