| THE COMPLETE LANGLANDS PARAMETERS CORRESPONDING TO THE REPRESENTATIONS OF THE CLASSICAL GROUPS WITH INTEGRAL REGULAR INFINITESIMAL CHARACTERS |
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| 作者姓名： | Hou Zixin Zhao Qiang |
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| 作者单位： | HOU ZIXIN ; ZHAO QIANG(Department of Mathematics，Nankai University，Tianjin 300071，China.)(Department of Mathematics，Beijing University Beijing 100871，China and Department of Mathematics，the Northwest Normal Uinversity，Lanzhou 730070，China.) |
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| 摘 要： | 1.CompleteLanglandsParametersandL-PacketsInthissectionwereviewsomebasicfactsfrom1].Wedenotethesetsofrealnumbers,complexnumbersandintegersbyR,CandZ,respectively.SupposethatGisaconnectedcomplexreductivealgebraicgroup.WehaveanextendedgrouPGrforG,andvGrisanE-groupforGr.WedenotethesetofLanglandsparametersandthesetofgeometricparametersforvGrbYp(vG')andX(VG'),respectively.ThereisanaturalmapfromP(VG')toX(vG').ItinducesabijectionfromequivalenceclassesofLanglandsparameterstogeometricparamet…
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| 关 键 词： | 古典群论 朗兰参数 线性群论 无穷小变量 |
| 收稿时间： | 1/8/1994 12:00:00 AM |
THE COMPLETE LANGLANDS PARAMETERS CORRESPONDING TO THE
REPRESENTATIONS OF THE CLASSICAL GROUPS WITH INTEGRAL
REGULAR INFINITESIMAL CHARACTERS |
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| Hou Zixin,Zhao Qiang.THE COMPLETE LANGLANDS PARAMETERS CORRESPONDING TO THE REPRESENTATIONS OF THE CLASSICAL GROUPS WITH INTEGRAL REGULAR INFINITESIMAL CHARACTERS[J].Chinese Annals of Mathematics,Series B,1996,17(1):53-62. |
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| Authors: | Hou Zixin and Zhao Qiang |
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| Institution: | [1]DepartmentofMathematics,NankaiUniversity,Tianjin300071,China. [2]DepartmentofMathematics,BeijingUniversity,Beijing100871 |
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| Abstract: | The authors determine all the complete Langlands parameters corresponding to the representations of the classical groups with integral regular infintesimal characters, and get all L-packts in that case. |
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| Keywords: | L-packet Complete Langlands parameter Classical group |
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