Work

On depth zero L‐packets for classical groups

Year: 2020

Type: article

Abstract: By computing reducibility points of parabolically induced representations, we construct, to within at most two unramified quadratic characters, the Langlands parameter of an arbitrary depth zero irreducible cuspidal representation π of a classical group (which may be not-quasi-split) over a non-archimedean local field of odd residual characteristic. From this, we can explicitly describe all the irreducible cuspidal representations in the union of one, two, or four L-packets, containing π. These results generalize the work of DeBacker–Reeder (in the case of classical groups) from regular to arbitrary tame Langlands parameters.

Source: Proceedings of the London Mathematical Society

DOI: 10.1112/plms.12340

Authors: Jaime Lust, Shaun Stevens

Institutions: University of Iowa, University of East Anglia, Norwich Research Park

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,000

Funder: Engineering and Physical Sciences Research Council