局部群錶示論，θ對應和Langlands-Shahidi方法 [P-adic Representations,θ-Correspondence and the Langlands-Shahidi-Th pdf epub mobi txt 電子書 下載 2025

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☆☆☆☆☆

葉揚波，田野 編

齣版社： 科學齣版社

ISBN：9787030380326

版次：01

商品編碼：11296986

包裝：平裝

外文名稱：P-adic Representations,θ-Correspondence and the Langlands-Shahidi-Theory

開本：16開

用紙：膠版紙

頁數：137

正文語種：英文

內容簡介

　　This book is the first volume of the Lecture Series of Modern， Number Theory， which is devoted to publishing peer-reviewed workshop lecture notes and the proceedings of conferences on all branches of contemporary number theory research. The series intends to target number theory researchers and students， including both experts and non-experts of the covered subjects.

內頁插圖

目錄

Preface
1 Arithmetic of Cuspidal Representations
1.1 Cuspidal representations by induction
1.1.1 Background and notation
1.1.2 Intertwining and Hecke algebras
1.1.3 Compact induction
1.1.4 An example
1.1.5 A broader context
1.2 Lattices, orders and strata
1.2.1 Lattices and orders
1.2.2 Lattice chains..
1.2.3 Multiplicative structures
1.2.4 Duality
1.2.5 Strata and intertwining
1.2.6 Field extensions
1.2.7 Minimal elements
1.3 Fundamental strata
1.3.1 Fundamental strata
1.3.2 Application to representations
1.3.3 The characteristic polynomial
1.3.4 Nonsplit fundamental strata
1.4 Prime dimension
1.4.1 A trivial case
1.4.2 The general case
1.4.3 The inducing representation
1.4.4 Uniqueness
1.4.5 Summary
1.5 Simple strata and simple characters
1.5.1 Adjoint map
1.5.2 Critical exponent
1.5.3 Construction
1.5.4 Intertwining.
1.5.5 Definitions
1.5.6 Interwining
1.5.7 Motility... ,
1.6 Structure of cuspidal representations
1.6.1 Trivial simple characters
1.6.2 Occurrence of a simple character
1.6.3 Heisenberg representations
1.6.4 A further restriction
1.6.5 End of the road
1.7 Endo-equivalence and lifting
1.7.1 Transfer of simple characters
1.7.2 Endo-equivalence
1.7.3 Invariants
1.7.4 Tame lifting
1.7.5 Tame induction map for endo-classes
1.8 Relation with the Langlands correspondence
1.8.1 The Weil group'
1.8.2 Representations
1.8.3 The Langlands correspondence
1.8.4 Relation with tame lifting
1.8.5 Ramification Theorem
References

2 Basic Representation Theory of Reductive p-adic Groups
2.1 Smooth representations of locally profinite groups
2.1.1 Locally profinite groups
2.1.2 Basic representation theory
2.1.3 Smooth representations
2.1.4 Induced representations
2.2 Admissible representations of locally profinite groups"
2.2.1 Admissible representations
2.2.2 Haar measure
2.2.3 Hecke algebra of a locally profinite group
2.2.4 Coinvariants
2.3 Schur's Lemma and Z-compact representations
2.3.1 Characters
2.3.2 Schur's Lemma and central character
2.3.3 Z-compact representations
2.3.4 An example
……
3 The Bernstein Decomposition for Smooth Complex Representationsof GLn,（F）
4 Lectures on the Local Theta Correspondence
5 An Overview of the Theory of Eisenstein Series

前言/序言

評分☆☆☆☆☆

素數很有意思，還沒來得及看，期待有時間的時候看看

評分☆☆☆☆☆

很好地書，有興趣的朋友可以買來讀讀！

評分☆☆☆☆☆

很好，，，，

評分☆☆☆☆☆

不錯

評分☆☆☆☆☆

數學經典教材，先買瞭，慢慢學

評分☆☆☆☆☆

數論甚至整個數學，起步於素數，精研素數，無限風光在險峰。

評分☆☆☆☆☆

數學經典教材，先買瞭，慢慢學

評分☆☆☆☆☆

評分☆☆☆☆☆

很不錯的書，要好好學習一波瞭