A Real Groups Construction of the Tame Local Langlands Correspondence for PGSp(4,F)

2012/09/26 by Moshe Adrian, Adrian, Moshe, Joshua M. Lansky +2 · 1 citation
Mathematics · #11S37 #22E50 #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Representation Theory (math.RT) #math.NT #math.RT #msc:11S37 #msc:22E50

paper · pdf · doi:10.48550/arxiv.1209.6045

28 pages

arxiv created 2012/09/26 · openalex publication_date 2012/09/26 · arxiv updated 2012/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we continue the work of the first author and give a new construction of the tame local Langlands correspondence for PGSp(4,F), where F is a p-adic field, that is analogous to the construction of the local Langlands correspondence for real groups.

Citations

• A New Construction for the Tame Local Langlands Correspondence for GL(n,F), n a prime

Cited by

• A new realization of the Langlands correspondence for PGL(2,F)

Related

• The local Langlands conjecture for the p-adic inner form of Sp(4)
• The local Langlands correspondence for GL(n) over p-adic fields
• A New Construction for the Tame Local Langlands Correspondence for GL(n,F), n a prime
• The local Langlands correspondence for GSp₄ over local function fields
• On the local Langlands correspondence