Automorphic representations of low rank groups:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Hackensack, N.J.
World Scientific
c2006
|
| Subjects: | |
| Online Access: | DE-1046 DE-1047 Volltext |
| Item Description: | Includes bibliographical references and index Cover -- CONTENTS -- PREFACE -- PART 1. ON THE SYMMETRIC SQUARE LIFTING -- INTRODUCTION -- I. FUNCTORIALITY AND NORMS -- I.1 Hecke algebra -- I.2 Norms -- I.3 Local lifting -- I.4 Orthogonality -- II. ORBITAL INTEGRALS -- II. 1 Fundamental lemma -- II. 2 Differential forms -- II. 3 Matching orbital integrals -- II. 4 Germ expansion -- III. TWISTED TRACE FORMULA -- III. 1 Geometric side -- III. 2 Analytic side -- III. 3 Trace formulae -- IV. TOTAL GLOBAL COMPARISON -- IV. 1 The comparison -- IV. 2 Appendix: Mathematica program -- V. APPLICATIONS OF A TRACE FORMULA -- V.1 Approximation -- V.2 Main theorems -- V.3 Characters and genericity -- VI. COMPUTATION OF A TWISTED CHARACTER -- VI. 1 Proof of theorem, anisotropic case 13; -- VI. 2 Proof of theorem, isotropic case -- PART 2. AUTOMORPHIC REPRESENTATIONS OF THE UNITARY GROUP U(3,E/F)13; -- INTRODUCTION -- 1. Functorial overview -- 2. Statement of results -- I. LOCAL THEORY -- I.1 Conjugacy classes -- I.2 Orbital integrals -- I.3 Fundamental lemma -- I.4 Admissible representations -- I.5 Representations of U(2,1;C/R) -- I.6 Fundamental lemma again |
| Physical Description: | 1 Online-Ressource (xi, 485 p.) |
| ISBN: | 9789812568038 9789812773623 9812568034 9812773622 |
Staff View
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| 245 | 1 | 0 | |a Automorphic representations of low rank groups |c Yuval Z. Flicker |
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| 500 | |a Cover -- CONTENTS -- PREFACE -- PART 1. ON THE SYMMETRIC SQUARE LIFTING -- INTRODUCTION -- I. FUNCTORIALITY AND NORMS -- I.1 Hecke algebra -- I.2 Norms -- I.3 Local lifting -- I.4 Orthogonality -- II. ORBITAL INTEGRALS -- II. 1 Fundamental lemma -- II. 2 Differential forms -- II. 3 Matching orbital integrals -- II. 4 Germ expansion -- III. TWISTED TRACE FORMULA -- III. 1 Geometric side -- III. 2 Analytic side -- III. 3 Trace formulae -- IV. TOTAL GLOBAL COMPARISON -- IV. 1 The comparison -- IV. 2 Appendix: Mathematica program -- V. APPLICATIONS OF A TRACE FORMULA -- V.1 Approximation -- V.2 Main theorems -- V.3 Characters and genericity -- VI. COMPUTATION OF A TWISTED CHARACTER -- VI. 1 Proof of theorem, anisotropic case 13; -- VI. 2 Proof of theorem, isotropic case -- PART 2. AUTOMORPHIC REPRESENTATIONS OF THE UNITARY GROUP U(3,E/F)13; -- INTRODUCTION -- 1. Functorial overview -- 2. Statement of results -- I. LOCAL THEORY -- I.1 Conjugacy classes -- I.2 Orbital integrals -- I.3 Fundamental lemma -- I.4 Admissible representations -- I.5 Representations of U(2,1;C/R) -- I.6 Fundamental lemma again | ||
| 650 | 7 | |a MATHEMATICS / Group Theory |2 bisacsh | |
| 650 | 7 | |a Automorphic forms |2 fast | |
| 650 | 7 | |a Lifting theory |2 fast | |
| 650 | 7 | |a Representations of groups |2 fast | |
| 650 | 7 | |a Trace formulas |2 fast | |
| 650 | 7 | |a Unitary groups |2 fast | |
| 650 | 4 | |a Representations of groups | |
| 650 | 4 | |a Unitary groups | |
| 650 | 4 | |a Lifting theory | |
| 650 | 4 | |a Automorphic forms | |
| 650 | 4 | |a Trace formulas | |
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| author | Flicker, Yuval Z., (Yuval Zvi) |
| author_facet | Flicker, Yuval Z., (Yuval Zvi) |
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| author_sort | Flicker, Yuval Z., (Yuval Zvi) |
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| bvnumber | BV043105215 |
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| dewey-full | 512/.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.22 |
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| dewey-tens | 510 - Mathematics |
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| format | Electronic eBook |
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| id | DE-604.BV043105215 |
| illustrated | Not Illustrated |
| indexdate | 2025-03-03T13:02:22Z |
| institution | BVB |
| isbn | 9789812568038 9789812773623 9812568034 9812773622 |
| language | English |
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| physical | 1 Online-Ressource (xi, 485 p.) |
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| publishDate | 2006 |
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| publisher | World Scientific |
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| spelling | Flicker, Yuval Z., (Yuval Zvi) Verfasser aut Automorphic representations of low rank groups Yuval Z. Flicker Hackensack, N.J. World Scientific c2006 1 Online-Ressource (xi, 485 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index Cover -- CONTENTS -- PREFACE -- PART 1. ON THE SYMMETRIC SQUARE LIFTING -- INTRODUCTION -- I. FUNCTORIALITY AND NORMS -- I.1 Hecke algebra -- I.2 Norms -- I.3 Local lifting -- I.4 Orthogonality -- II. ORBITAL INTEGRALS -- II. 1 Fundamental lemma -- II. 2 Differential forms -- II. 3 Matching orbital integrals -- II. 4 Germ expansion -- III. TWISTED TRACE FORMULA -- III. 1 Geometric side -- III. 2 Analytic side -- III. 3 Trace formulae -- IV. TOTAL GLOBAL COMPARISON -- IV. 1 The comparison -- IV. 2 Appendix: Mathematica program -- V. APPLICATIONS OF A TRACE FORMULA -- V.1 Approximation -- V.2 Main theorems -- V.3 Characters and genericity -- VI. COMPUTATION OF A TWISTED CHARACTER -- VI. 1 Proof of theorem, anisotropic case 13; -- VI. 2 Proof of theorem, isotropic case -- PART 2. AUTOMORPHIC REPRESENTATIONS OF THE UNITARY GROUP U(3,E/F)13; -- INTRODUCTION -- 1. Functorial overview -- 2. Statement of results -- I. LOCAL THEORY -- I.1 Conjugacy classes -- I.2 Orbital integrals -- I.3 Fundamental lemma -- I.4 Admissible representations -- I.5 Representations of U(2,1;C/R) -- I.6 Fundamental lemma again MATHEMATICS / Group Theory bisacsh Automorphic forms fast Lifting theory fast Representations of groups fast Trace formulas fast Unitary groups fast Representations of groups Unitary groups Lifting theory Automorphic forms Trace formulas Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd rswk-swf Zetafunktion (DE-588)4190764-4 gnd rswk-swf Automorphe Darstellung (DE-588)4192856-8 gnd rswk-swf Unitäre Gruppe (DE-588)4261524-0 gnd rswk-swf Automorphe Darstellung (DE-588)4192856-8 s Unitäre Gruppe (DE-588)4261524-0 s Zetafunktion (DE-588)4190764-4 s Shimura-Mannigfaltigkeit (DE-588)4181143-4 s 1\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210725 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Flicker, Yuval Z., (Yuval Zvi) Automorphic representations of low rank groups MATHEMATICS / Group Theory bisacsh Automorphic forms fast Lifting theory fast Representations of groups fast Trace formulas fast Unitary groups fast Representations of groups Unitary groups Lifting theory Automorphic forms Trace formulas Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd Zetafunktion (DE-588)4190764-4 gnd Automorphe Darstellung (DE-588)4192856-8 gnd Unitäre Gruppe (DE-588)4261524-0 gnd |
| subject_GND | (DE-588)4181143-4 (DE-588)4190764-4 (DE-588)4192856-8 (DE-588)4261524-0 |
| title | Automorphic representations of low rank groups |
| title_auth | Automorphic representations of low rank groups |
| title_exact_search | Automorphic representations of low rank groups |
| title_full | Automorphic representations of low rank groups Yuval Z. Flicker |
| title_fullStr | Automorphic representations of low rank groups Yuval Z. Flicker |
| title_full_unstemmed | Automorphic representations of low rank groups Yuval Z. Flicker |
| title_short | Automorphic representations of low rank groups |
| title_sort | automorphic representations of low rank groups |
| topic | MATHEMATICS / Group Theory bisacsh Automorphic forms fast Lifting theory fast Representations of groups fast Trace formulas fast Unitary groups fast Representations of groups Unitary groups Lifting theory Automorphic forms Trace formulas Shimura-Mannigfaltigkeit (DE-588)4181143-4 gnd Zetafunktion (DE-588)4190764-4 gnd Automorphe Darstellung (DE-588)4192856-8 gnd Unitäre Gruppe (DE-588)4261524-0 gnd |
| topic_facet | MATHEMATICS / Group Theory Automorphic forms Lifting theory Representations of groups Trace formulas Unitary groups Shimura-Mannigfaltigkeit Zetafunktion Automorphe Darstellung Unitäre Gruppe |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=210725 |
| work_keys_str_mv | AT flickeryuvalzyuvalzvi automorphicrepresentationsoflowrankgroups |