Automorphic Representations of Low Rank Groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Singapore [u.a.]
World Scientific
2006
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 485 S. |
| ISBN: | 9812568034 |
Internformat
MARC
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| 245 | 1 | 0 | |a Automorphic Representations of Low Rank Groups |c Yuval Z. Flicker |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c 2006 | |
| 300 | |a XI, 485 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Automorphic forms | |
| 650 | 4 | |a Lifting theory | |
| 650 | 4 | |a Representations of groups | |
| 650 | 4 | |a Trace formulas | |
| 650 | 4 | |a Unitary groups | |
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Datensatz im Suchindex
| _version_ | 1825578093792722944 |
|---|---|
| adam_text |
CONTENTS
PREPACE v
PART
INTRODUCTION
I. FUNCTORIALITY AND NORMS
1.1
1.2
1.3
1.4
II. ORBITAL INTEGRALS
II.
11.2 Differential forms
11.3 Matching orbital integrals
11.4 Germ expansion
III. TWISTED TRACE FORMULA
111.1 Geometric side
111.2 Analytic side
111.3 Trace formulae
IV. TOTAL GLOBAL COMPARISON
IV.
IV.
V. APPLICATIONS OF A TRACE FORMULA
V.
V.2 Main theorems
V.3 Characters and genericity
VI. COMPUTATION OF A TWISTED CHARACTER
VI.
VI.2 Proof of theorem,
ix
x
PART
THE UNITARY GROUP V(3,E/F)
INTRODUCTION
1.
2.
I. LOCAL THEORY
1.1 Conjugacy classes
1.2
1.3
1.4
1.5
1.6
II. TRACE FORMULA
II.
II.
11.3 Restricted comparison
11.4 Trace identity
II.
11.6 The quasi-endo-lifting
11.7 Unitary symmetric square
III. LIFTINGS AND PACKETS
III.l Local identity
III.
111.3 Specific lifts
111.4 Whittaker models and twisted characters
111.5 Global lifting
111.6 Concluding remarks
Contents xi
PART
OF U(3)
INTRODUCTION
1.
2.
I. PRELIMINARIES
1.1
1.2
1.3
II. AUTOMORPHIC REPRESENTATIONS
II.
II.2 Punctorial overview of basechange for U(3)
П.З
II.4 Global results on basechange for U(3)
II.
11,6
III. LOCAL TERMS
ІП.1
111.2 The representation of the dual group
111.3 Local terms at p
111.4 The eigenvalues at p
111.5 Terms at p for the
IV. REAL REPRESENTATIONS
IV.
IV.2 Representations of U(2,l)
IV.
V. GALOIS REPRESENTATIONS
V.I Stable case
V.2 Unstable case
V.3 Nontempered case
REFERENCES
INDEX |
| adam_txt |
CONTENTS
PREPACE v
PART
INTRODUCTION
I. FUNCTORIALITY AND NORMS
1.1
1.2
1.3
1.4
II. ORBITAL INTEGRALS
II.
11.2 Differential forms
11.3 Matching orbital integrals
11.4 Germ expansion
III. TWISTED TRACE FORMULA
111.1 Geometric side
111.2 Analytic side
111.3 Trace formulae
IV. TOTAL GLOBAL COMPARISON
IV.
IV.
V. APPLICATIONS OF A TRACE FORMULA
V.
V.2 Main theorems
V.3 Characters and genericity
VI. COMPUTATION OF A TWISTED CHARACTER
VI.
VI.2 Proof of theorem,
ix
x
PART
THE UNITARY GROUP V(3,E/F)
INTRODUCTION
1.
2.
I. LOCAL THEORY
1.1 Conjugacy classes
1.2
1.3
1.4
1.5
1.6
II. TRACE FORMULA
II.
II.
11.3 Restricted comparison
11.4 Trace identity
II.
11.6 The quasi-endo-lifting
11.7 Unitary symmetric square
III. LIFTINGS AND PACKETS
III.l Local identity
III.
111.3 Specific lifts
111.4 Whittaker models and twisted characters
111.5 Global lifting
111.6 Concluding remarks
Contents xi
PART
OF U(3)
INTRODUCTION
1.
2.
I. PRELIMINARIES
1.1
1.2
1.3
II. AUTOMORPHIC REPRESENTATIONS
II.
II.2 Punctorial overview of basechange for U(3)
П.З
II.4 Global results on basechange for U(3)
II.
11,6
III. LOCAL TERMS
ІП.1
111.2 The representation of the dual group
111.3 Local terms at p
111.4 The eigenvalues at p
111.5 Terms at p for the
IV. REAL REPRESENTATIONS
IV.
IV.2 Representations of U(2,l)
IV.
V. GALOIS REPRESENTATIONS
V.I Stable case
V.2 Unstable case
V.3 Nontempered case
REFERENCES
INDEX |
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| ctrlnum | (OCoLC)255643392 (DE-599)BVBBV021761124 |
| dewey-full | 512.22 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV021761124 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T15:35:15Z |
| indexdate | 2025-03-03T13:02:20Z |
| institution | BVB |
| isbn | 9812568034 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014974192 |
| oclc_num | 255643392 |
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| physical | XI, 485 S. |
| publishDate | 2006 |
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| publisher | World Scientific |
| record_format | marc |
| spelling | Flicker, Yuval Z. Verfasser aut Automorphic Representations of Low Rank Groups Yuval Z. Flicker Singapore [u.a.] World Scientific 2006 XI, 485 S. txt rdacontent n rdamedia nc rdacarrier Automorphic forms Lifting theory Representations of groups Trace formulas Unitary groups 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 DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014974192&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Flicker, Yuval Z. Automorphic Representations of Low Rank Groups Automorphic forms Lifting theory Representations of groups Trace formulas Unitary groups 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_exact_search_txtP | 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 | Automorphic forms Lifting theory Representations of groups Trace formulas Unitary groups 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 | Automorphic forms Lifting theory Representations of groups Trace formulas Unitary groups Shimura-Mannigfaltigkeit Zetafunktion Automorphe Darstellung Unitäre Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014974192&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT flickeryuvalz automorphicrepresentationsoflowrankgroups |