A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups
Abstract We show that the cuspidal component of the stable trace formula of a split special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the r-stable trace formula, when r is the standard or the second fundamental representation of...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Mok, Chung Pang [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Science in China - Asheville, NC : Science in China Press, 1995, 61(2017), 6 vom: 29. Dez., Seite 993-1012 |
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| Übergeordnetes Werk: |
volume:61 ; year:2017 ; number:6 ; day:29 ; month:12 ; pages:993-1012 |
| Links: |
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| DOI / URN: |
10.1007/s11425-017-9089-8 |
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SPR019146310 |
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| 520 | |a Abstract We show that the cuspidal component of the stable trace formula of a split special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the r-stable trace formula, when r is the standard or the second fundamental representation of the dual group, and show that they satisfy a similar kind of beyond endoscopic decomposition. The results are consequences of Arthur’s works (2013) on endoscopic classification of automorphic representations, together with known results concerning a class of Langlands L-functions for special odd orthogonal groups. | ||
| 650 | 4 | |a cuspidal component |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a stable trace formula |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a beyond endoscopic decomposition |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -stable trace formula |7 (dpeaa)DE-He213 | |
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10.1007/s11425-017-9089-8 doi (DE-627)SPR019146310 (SPR)s11425-017-9089-8-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Mok, Chung Pang verfasserin aut A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We show that the cuspidal component of the stable trace formula of a split special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the r-stable trace formula, when r is the standard or the second fundamental representation of the dual group, and show that they satisfy a similar kind of beyond endoscopic decomposition. The results are consequences of Arthur’s works (2013) on endoscopic classification of automorphic representations, together with known results concerning a class of Langlands L-functions for special odd orthogonal groups. cuspidal component (dpeaa)DE-He213 stable trace formula (dpeaa)DE-He213 beyond endoscopic decomposition (dpeaa)DE-He213 -stable trace formula (dpeaa)DE-He213 Enthalten in Science in China Asheville, NC : Science in China Press, 1995 61(2017), 6 vom: 29. Dez., Seite 993-1012 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:61 year:2017 number:6 day:29 month:12 pages:993-1012 https://dx.doi.org/10.1007/s11425-017-9089-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 61 2017 6 29 12 993-1012 |
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10.1007/s11425-017-9089-8 doi (DE-627)SPR019146310 (SPR)s11425-017-9089-8-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Mok, Chung Pang verfasserin aut A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We show that the cuspidal component of the stable trace formula of a split special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the r-stable trace formula, when r is the standard or the second fundamental representation of the dual group, and show that they satisfy a similar kind of beyond endoscopic decomposition. The results are consequences of Arthur’s works (2013) on endoscopic classification of automorphic representations, together with known results concerning a class of Langlands L-functions for special odd orthogonal groups. cuspidal component (dpeaa)DE-He213 stable trace formula (dpeaa)DE-He213 beyond endoscopic decomposition (dpeaa)DE-He213 -stable trace formula (dpeaa)DE-He213 Enthalten in Science in China Asheville, NC : Science in China Press, 1995 61(2017), 6 vom: 29. Dez., Seite 993-1012 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:61 year:2017 number:6 day:29 month:12 pages:993-1012 https://dx.doi.org/10.1007/s11425-017-9089-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 61 2017 6 29 12 993-1012 |
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10.1007/s11425-017-9089-8 doi (DE-627)SPR019146310 (SPR)s11425-017-9089-8-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Mok, Chung Pang verfasserin aut A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We show that the cuspidal component of the stable trace formula of a split special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the r-stable trace formula, when r is the standard or the second fundamental representation of the dual group, and show that they satisfy a similar kind of beyond endoscopic decomposition. The results are consequences of Arthur’s works (2013) on endoscopic classification of automorphic representations, together with known results concerning a class of Langlands L-functions for special odd orthogonal groups. cuspidal component (dpeaa)DE-He213 stable trace formula (dpeaa)DE-He213 beyond endoscopic decomposition (dpeaa)DE-He213 -stable trace formula (dpeaa)DE-He213 Enthalten in Science in China Asheville, NC : Science in China Press, 1995 61(2017), 6 vom: 29. Dez., Seite 993-1012 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:61 year:2017 number:6 day:29 month:12 pages:993-1012 https://dx.doi.org/10.1007/s11425-017-9089-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 61 2017 6 29 12 993-1012 |
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10.1007/s11425-017-9089-8 doi (DE-627)SPR019146310 (SPR)s11425-017-9089-8-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Mok, Chung Pang verfasserin aut A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We show that the cuspidal component of the stable trace formula of a split special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the r-stable trace formula, when r is the standard or the second fundamental representation of the dual group, and show that they satisfy a similar kind of beyond endoscopic decomposition. The results are consequences of Arthur’s works (2013) on endoscopic classification of automorphic representations, together with known results concerning a class of Langlands L-functions for special odd orthogonal groups. cuspidal component (dpeaa)DE-He213 stable trace formula (dpeaa)DE-He213 beyond endoscopic decomposition (dpeaa)DE-He213 -stable trace formula (dpeaa)DE-He213 Enthalten in Science in China Asheville, NC : Science in China Press, 1995 61(2017), 6 vom: 29. Dez., Seite 993-1012 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:61 year:2017 number:6 day:29 month:12 pages:993-1012 https://dx.doi.org/10.1007/s11425-017-9089-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 61 2017 6 29 12 993-1012 |
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10.1007/s11425-017-9089-8 doi (DE-627)SPR019146310 (SPR)s11425-017-9089-8-e DE-627 ger DE-627 rakwb eng 510 530 520 ASE 30.00 bkl 31.00 bkl Mok, Chung Pang verfasserin aut A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We show that the cuspidal component of the stable trace formula of a split special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the r-stable trace formula, when r is the standard or the second fundamental representation of the dual group, and show that they satisfy a similar kind of beyond endoscopic decomposition. The results are consequences of Arthur’s works (2013) on endoscopic classification of automorphic representations, together with known results concerning a class of Langlands L-functions for special odd orthogonal groups. cuspidal component (dpeaa)DE-He213 stable trace formula (dpeaa)DE-He213 beyond endoscopic decomposition (dpeaa)DE-He213 -stable trace formula (dpeaa)DE-He213 Enthalten in Science in China Asheville, NC : Science in China Press, 1995 61(2017), 6 vom: 29. Dez., Seite 993-1012 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:61 year:2017 number:6 day:29 month:12 pages:993-1012 https://dx.doi.org/10.1007/s11425-017-9089-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-AST SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 30.00 ASE 31.00 ASE AR 61 2017 6 29 12 993-1012 |
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Enthalten in Science in China 61(2017), 6 vom: 29. Dez., Seite 993-1012 volume:61 year:2017 number:6 day:29 month:12 pages:993-1012 |
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Enthalten in Science in China 61(2017), 6 vom: 29. Dez., Seite 993-1012 volume:61 year:2017 number:6 day:29 month:12 pages:993-1012 |
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A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups |
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weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups |
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A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups |
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Abstract We show that the cuspidal component of the stable trace formula of a split special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the r-stable trace formula, when r is the standard or the second fundamental representation of the dual group, and show that they satisfy a similar kind of beyond endoscopic decomposition. The results are consequences of Arthur’s works (2013) on endoscopic classification of automorphic representations, together with known results concerning a class of Langlands L-functions for special odd orthogonal groups. |
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Abstract We show that the cuspidal component of the stable trace formula of a split special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the r-stable trace formula, when r is the standard or the second fundamental representation of the dual group, and show that they satisfy a similar kind of beyond endoscopic decomposition. The results are consequences of Arthur’s works (2013) on endoscopic classification of automorphic representations, together with known results concerning a class of Langlands L-functions for special odd orthogonal groups. |
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Abstract We show that the cuspidal component of the stable trace formula of a split special odd orthogonal group over a number field, satisfies a weak form of beyond endoscopic decomposition. We also study the r-stable trace formula, when r is the standard or the second fundamental representation of the dual group, and show that they satisfy a similar kind of beyond endoscopic decomposition. The results are consequences of Arthur’s works (2013) on endoscopic classification of automorphic representations, together with known results concerning a class of Langlands L-functions for special odd orthogonal groups. |
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A weak form of beyond endoscopic decomposition for the stable trace formula of odd orthogonal groups |
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