The fundamental lemma for the Shalika subgroup of GL(4)
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| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1996
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
594 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Friedberg, Solomon |d 1958- |e Verfasser |0 (DE-588)1014937043 |4 aut | |
| 245 | 1 | 0 | |a The fundamental lemma for the Shalika subgroup of GL(4) |c Solomon Friedberg ; Hervé Jacquet |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1996 | |
| 300 | |a IX, 149 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 594 | |
| 500 | |a Volume 124, Number 594 (end of volume) | ||
| 650 | 4 | |a Automorphic forms | |
| 650 | 7 | |a Groepentheorie |2 gtt | |
| 650 | 7 | |a Representatie (wiskunde) |2 gtt | |
| 650 | 4 | |a Representations of groups | |
| 650 | 4 | |a Trace formulas | |
| 650 | 0 | 7 | |a Allgemeine lineare Gruppe |0 (DE-588)4284587-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Spurformel |0 (DE-588)4182612-7 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Spurformel |0 (DE-588)4182612-7 |D s |
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| 700 | 1 | |a Jacquet, Hervé |d 1939- |e Verfasser |0 (DE-588)172165954 |4 aut | |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 1565451 |
|---|---|
| _version_ | 1820888468501299200 |
| adam_text | CONTENTS
Chapter I. Introduction and Statement of Results 1
1. Introduction 1
2. The Shalika Subgroup H of (71(4): Relevant Double Cosets
and Kloosterman Integrals 4
3. The Symplectic Group GSp(4): Relevant Double Cosets and
Kloosterman Integrals 8
4. The Main Theorem 10
5. Kloosterman Integrals and Gauss Sums 14
Chapter II. Evaluation of the Integral for the Main H
Relevant Double Cosets 16
1. Plan of the Computation 16
2. The Unipotent Integral 17
3. The Toroidal Integral 30
4. Two Supplementary Integrals 41
5. Evaluation of the Meilin Transform I: The Ramified Gase 43
6. Evaluation of the Meilin Transform II: The Case Xi Ramified,
X2 Unrarnified 45
7. Evaluation of the Mellin Transform III: The Case xi Unrami
fied, X2 Ramified 49
8. Evaluation of the Mellin Transform IV: The Unramified Case 60
Chapter III. Evaluation of the Integrals for the Other
JT Relevant Double Cosets 67
1. Evaluation of the Integral Mf(x; 1), I: Unipotent Integration 67
2. Evaluation of the Integral Mp(x; 1), II: Toroidal Integration
and Simplification 74
3. Evaluation of the Integral Mf(x; (132)), I: Unipotent Integra¬
tion 78
4. Evaluation of the Integral Mp(x; (132)), II: Toroidal Integra¬
tion and Simplification 84
viii CONTENTS
Chapter IV. Evaluation of the GSp(i) Integral for the
Main Double Cosets 86
1. Computation of the Integral J(t) 86
2. Simplification of the Integrals Giving J(t) 92
3. Computation of the Mellin Transform 98
4. Evaluation of the Mellin Transform I: The Ramified Case 107
5. Evaluation of the Mellin Transform II: The Case i Ramified,
%2 Unramified 109
6. Evaluation of the Mellin Transform III: The Case xi Unrami¬
fied, X2 Ramified 117
7. Evaluation of the Mellin Transform IV: The Unramified Case 124
Chapter V. Evaluation of the GSp(4) Integrals for the
Other Relevant Double Cosets 136
1. Computation of the Integral J{wi, t) 136
2. Evaluation of the Mellin Transform Mj(x; u»i) 139
3. Computation of the Integral J(w2,t) 143
4. Evaluation of the Mellin Transform Mj{x; w2) 146
References 149
|
| any_adam_object | 1 |
| author | Friedberg, Solomon 1958- Jacquet, Hervé 1939- |
| author_GND | (DE-588)1014937043 (DE-588)172165954 |
| author_facet | Friedberg, Solomon 1958- Jacquet, Hervé 1939- |
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| building | Verbundindex |
| bvnumber | BV011210359 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)68638894 (DE-599)BVBBV011210359 |
| dewey-full | 512/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.7 |
| dewey-search | 512/.7 |
| dewey-sort | 3512 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV011210359 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T14:26:39Z |
| institution | BVB |
| isbn | 0821805401 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007519637 |
| oclc_num | 68638894 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-12 DE-384 DE-29T DE-824 DE-739 DE-91G DE-BY-TUM DE-83 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-12 DE-384 DE-29T DE-824 DE-739 DE-91G DE-BY-TUM DE-83 DE-188 |
| physical | IX, 149 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spellingShingle | Friedberg, Solomon 1958- Jacquet, Hervé 1939- The fundamental lemma for the Shalika subgroup of GL(4) American Mathematical Society: Memoirs of the American Mathematical Society Automorphic forms Groepentheorie gtt Representatie (wiskunde) gtt Representations of groups Trace formulas Allgemeine lineare Gruppe (DE-588)4284587-7 gnd Spurformel (DE-588)4182612-7 gnd |
| subject_GND | (DE-588)4284587-7 (DE-588)4182612-7 |
| title | The fundamental lemma for the Shalika subgroup of GL(4) |
| title_auth | The fundamental lemma for the Shalika subgroup of GL(4) |
| title_exact_search | The fundamental lemma for the Shalika subgroup of GL(4) |
| title_full | The fundamental lemma for the Shalika subgroup of GL(4) Solomon Friedberg ; Hervé Jacquet |
| title_fullStr | The fundamental lemma for the Shalika subgroup of GL(4) Solomon Friedberg ; Hervé Jacquet |
| title_full_unstemmed | The fundamental lemma for the Shalika subgroup of GL(4) Solomon Friedberg ; Hervé Jacquet |
| title_short | The fundamental lemma for the Shalika subgroup of GL(4) |
| title_sort | the fundamental lemma for the shalika subgroup of gl 4 |
| topic | Automorphic forms Groepentheorie gtt Representatie (wiskunde) gtt Representations of groups Trace formulas Allgemeine lineare Gruppe (DE-588)4284587-7 gnd Spurformel (DE-588)4182612-7 gnd |
| topic_facet | Automorphic forms Groepentheorie Representatie (wiskunde) Representations of groups Trace formulas Allgemeine lineare Gruppe Spurformel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007519637&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT friedbergsolomon thefundamentallemmafortheshalikasubgroupofgl4 AT jacquetherve thefundamentallemmafortheshalikasubgroupofgl4 |