L-packets and the generic Arthur packet conjectures for even unitary similitude groups
Abstract
We establish the generic local Langlands correspondence by showing the equality of the Langlands-Shahidi L-functions and Artin L-functions in the case of even unitary similitude groups.As an application, we prove both weak and strong versions of the generic Arthur packet conjectures in the cases of even unitary similitude groups and even unitary groups.We further describe (not necessarily generic) L-packets for even unitary similitude groups and establish their expected properties, including Shahidi's conjecture, the finiteness of L-packets, and other related results.
Fields of Study & Subjects
Advanced Algebra and Geometry
Geometric and Algebraic Topology
Finite Group Theory Research
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Volume
- 344
- Issue
- 2
- Pages
- 367–393
- Publication date
- 8 September 2026
- Language
- EN