Matching of orbital integrals on GL(4) and GSp(2):
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1999
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
655 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 137, number 655 (fourth of 6 numbers)." |
| Physical Description: | VIII, 112 S. |
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| 245 | 1 | 0 | |a Matching of orbital integrals on GL(4) and GSp(2) |c Yuval Z. Flicker |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1999 | |
| 300 | |a VIII, 112 S. | ||
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Record in the Search Index
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| adam_text | CONTENTS page number
Abstract viii
Introduction 1
PART I. Preparations
A. Statement of Theorem 6
B. Stable conjugacy 8
C. Explicit representatives 10
D. Stable 0 conjugacy 13
E. Useful facts 19
F. Endoscopic groups 21
G. Instability 24
H. Kazhdan s decomposition 28
I. Decompositions for GL(2) 30
J. Decomposition for Sp(2) 32
PART II. Main comparison
A. Strategy 39
B. Twisted orbital integrals of type (I) 39
C. Orbital integrals of type (I) 44
D. Comparison in stable case (I), E/F unramified 47
E. Comparison in stable case (I), E/F ramified 51
F. Endoscopy for H = GSp{2), type (I) 53
Unstable twisted case. Twisted endoscopic group of type I.F.2 58
Twisted endoscopic group of type I.F.3, E/F unramified 59
G. Twisted orbital integrals of type (II) 61
H. Orbital integrals of type (II) 65
I. Comparison in case (II), E/E3 ramified (e = 2) 69
Unstable twisted case. Twisted endoscopic group of type I.F.2 72
J. Comparison in case (II), E/E3 unramified (e = 1) 73
Unstable twisted case. Twisted endoscopic group of type I.F.3 77
K. Endoscopy for GSp(2), type (II) 79
L. Comparison in case (III) 82
Unstable twisted case. Twisted endoscopic group of type I.F.2 86
M. Comparison in case (IV) 88
Unstable twisted case. Twisted endoscopic group of type I.F.2 97
PART III. Semi simple reduction
A. Review 100
B. Case of torus of type (I) 100
C. Case of torus of type (II) 105
D. Case of torus of type (III) 106
E. Case of torus of type (IV) 109
References 111
vii
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| id | DE-604.BV012435639 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:27:31Z |
| institution | BVB |
| language | English |
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| physical | VIII, 112 S. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| 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 |
| spelling | Flicker, Yuval Z. 1955- Verfasser (DE-588)17207696X aut Matching of orbital integrals on GL(4) and GSp(2) Yuval Z. Flicker Providence, RI American Math. Soc. 1999 VIII, 112 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 655 "Volume 137, number 655 (fourth of 6 numbers)." Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Symplektische Gruppe (DE-588)4276585-7 gnd rswk-swf Spurformel (DE-588)4182612-7 gnd rswk-swf Orbit Mathematik (DE-588)4238277-4 gnd rswk-swf Symplektische Gruppe (DE-588)4276585-7 s Darstellungstheorie (DE-588)4148816-7 s Spurformel (DE-588)4182612-7 s Orbit Mathematik (DE-588)4238277-4 s DE-604 American Mathematical Society: Memoirs of the American Mathematical Society 655 (DE-604)BV008000141 655 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008437027&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Flicker, Yuval Z. 1955- Matching of orbital integrals on GL(4) and GSp(2) American Mathematical Society: Memoirs of the American Mathematical Society Darstellungstheorie (DE-588)4148816-7 gnd Symplektische Gruppe (DE-588)4276585-7 gnd Spurformel (DE-588)4182612-7 gnd Orbit Mathematik (DE-588)4238277-4 gnd |
| subject_GND | (DE-588)4148816-7 (DE-588)4276585-7 (DE-588)4182612-7 (DE-588)4238277-4 |
| title | Matching of orbital integrals on GL(4) and GSp(2) |
| title_auth | Matching of orbital integrals on GL(4) and GSp(2) |
| title_exact_search | Matching of orbital integrals on GL(4) and GSp(2) |
| title_full | Matching of orbital integrals on GL(4) and GSp(2) Yuval Z. Flicker |
| title_fullStr | Matching of orbital integrals on GL(4) and GSp(2) Yuval Z. Flicker |
| title_full_unstemmed | Matching of orbital integrals on GL(4) and GSp(2) Yuval Z. Flicker |
| title_short | Matching of orbital integrals on GL(4) and GSp(2) |
| title_sort | matching of orbital integrals on gl 4 and gsp 2 |
| topic | Darstellungstheorie (DE-588)4148816-7 gnd Symplektische Gruppe (DE-588)4276585-7 gnd Spurformel (DE-588)4182612-7 gnd Orbit Mathematik (DE-588)4238277-4 gnd |
| topic_facet | Darstellungstheorie Symplektische Gruppe Spurformel Orbit Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008437027&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT flickeryuvalz matchingoforbitalintegralsongl4andgsp2 |