Functoriality for the classical groups

By J. Cogdell, Henry H. Kim, I. Piatetski-Shapiro, F. Shahidi. 2004

214 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c1144e002f0b95f79a72f03c61e41150dd30ac53

How researchers see this paper

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In Discrete Mathematics and Combinatorics

1. F. Shahidi
2. J. Cogdell
3. Dihua Jiang
4. M. Asgari
5. Dinakar Ramakrishnan
6. Henry H. Kim
7. P. Michel
8. Ralf Schmidt

In Geometry and Topology

1. F. Shahidi
2. J. Cogdell
3. M. Asgari
4. Dihua Jiang
5. Dinakar Ramakrishnan
6. A. Raghuram
7. Shuichiro Takeda
8. P. Michel

In Mathematical Physics

1. F. Shahidi
2. J. Cogdell
3. M. Asgari
4. Dihua Jiang
5. Dinakar Ramakrishnan
6. A. Raghuram
7. Henry H. Kim
8. P. Michel

Citations in the corpus

• Generic Transfer for General Spin Groups (2004, background): “st rewrite (43) in terms of Bessel functions defined as in [8] and then study their asymptotics. 4.2. Bessel functions and their asymptotics. We now briefly review some basic facts from [8]. In view of [6] and particularly [10, 11] which will study these issues in more generality, we only concentrate ”
• Automorphic Integral Transforms for Classical Groups I: Endoscopy Correspondences (2012, methodology): “perties of tensor product L-functions of classical groups and general linear groups. This method has been successful for generic cuspidal automorphic representations of F-quasisplit classical groups ([CKPSS04], [CPSS11], [KK05], and also see [AS06] for spinor group case) and has been extended to pro”
• SIEGEL MODULAR FORMS OF GENUS 2 ATTACHED TO ELLIPTIC CURVES (2006, methodology): “By the work of the second author with Cogdell, Kim and Piatetski-Shapiro ( [12]), we can transfer Π′ back to a cusp form π′ on GL(4)/Q such that the arrow Πv → π′ v is compatible with the descent of [15], and is functorial at every place v (see [49], [25]).”
• Generic transfer from GSp(4) to GL(4) (2004, methodology): “Let us remark that, as in Section 7 of [3], one could define the notion of local transfer and obtain complete information about such transfers for a general irreducible admissible generic representation, whether a local component of an global representation or not.”
• Functoriality for the quasisplit classical groups (2011, methodology): “In the split cases, they were discussed in [11].”