On CAP Representations for Even Orthogonal Groups I:A Correspondence of Unramified Representations
On CAP Representations for Even Orthogonal Groups I:A Correspondence of Unramified Representations
摘要
The authors prove the local unramified correspondence for a new type of construction of CAP representations of even orthogonal groups by a generalized automorphic descent method. This method is expected to work for all classical groups.
基金
supported by the National Science Foundation Grant(Nos.DMS–1001672,DMS–1301567)
the USA-Israel Binational Science Foundation Grant(Nos.2008058,2012019)
二级参考文献76
-
1Atsushi Ichino,Tamutsu Ikeda.On the Periods of Automorphic Forms on Special Orthogonal Groups and the Gross–Prasad Conjecture[J]. Geometric and Functional Analysis . 2010 (5)
-
2J. W. Cogdell,H. H. Kim,I. I. Piatetski-Shapiro,F. Shahidi.Functoriality for the classical groups[J]. Publications Mathématiques de l’Institut des Hautes études Scientifiques . 2004 (1)
-
3David Ginzburg,Dihua Jiang,Stephen Rallis.Periods of residual representations of SO(2l)[J]. manuscripta mathematica . 2004 (3)
-
4David Ginzburg,Dihua Jiang.Periods and liftings: FromG 2 toC 3[J]. Israel Journal of Mathematics . 2001 (1)
-
5J.W. Cogdell,H.H. Kim,I.I. Piatetski-Shapiro,F. Shahidi.On lifting from classical groups to GLN[J]. Publications Mathématiques de l’IHéS . 2001 (1)
-
6David Ginzburg,Stephen Rallis.The Exterior Cube L-Function for GL(6)[J]. Compositio Mathematica . 2000 (3)
-
7Guy Henniart.Une preuve simple des conjectures de Langlands pour GL(n) sur un corps p-adique[J]. Inventiones mathematicae . 2000 (2)
-
8San Cao Vo.The spinL-function on the symplectic groupGSp(6)[J]. Israel Journal of Mathematics . 1997 (1)
-
9Gordan Savin.Local shimura correspondence[J]. Mathematische Annalen . 1988 (2)
-
10Peter B. Gilkey,Gary M. Seitz.Some representations of exceptional Lie algebras[J]. Geometriae Dedicata . 1988 (1-3)
-
1刘凤山.关于t个拉丁方正交组的一个算法[J].黑龙江大学自然科学学报,1989,6(2):26-26.
-
2王全胜,杜锋.α-酉变换的特征值及其谱分析[J].荆楚理工学院学报,2013,28(2):53-57.
-
3PeterJau-ShyongShiue,孙琦,张起帆.剩余类环上的多元置换多项式与正交组[J].数学年刊（A辑）,1996,1(1):43-46. 被引量：1
-
4靳廷昌.R^n中向量的正交化[J].张家口师专学报,2003,19(3):12-14. 被引量：1
-
5孙琦.环Z/(m)上线性型的正交组[J].数学年刊（A辑）,1993,1(3):328-333. 被引量：7
-
6洪绍方.环Z/mZ上的多元多项式正交组[J].四川大学学报（自然科学版）,1998,35(2):155-157.
-
7杨继明.关于环Z/(m)上线性型的正交组[J].抚州师专学报,2000,19(2):13-14.
-
8孙琦,万大庆.关于多元多项式模m正交组[J].四川大学学报（自然科学版）,1994,31(4):439-441.
-
9王新哲,刘银萍,马晓敏.正交组的初等变换求法[J].松辽学刊（自然科学版）,1996(1):63-65.
-
10胡永忠.Z/mZ上的多元奇异置换多项式[J].四川大学学报（自然科学版）,2001,38(4):457-459. 被引量：1
