Unitary dual of GL(n) at archimedean places and global Jacquet–Langlands correspondence
By A. I. Badulescu, David.Renard. Compositio Mathematica, 2009
55 citations recorded by the source corpus.
Abstract In a paper by Badulescu [Global Jacquet–Langlands correspondence, multiplicity one and classification of automorphic representations, Invent. Math. 172 (2008), 383–438], results on the global Jacquet–Langlands correspondence, (weak and strong) multiplicity-one theorems and the classification of automorphic representations for inner forms of the general linear group over a number field were established, under the assumption that the local inner forms are split at archimedean places. In this paper, we extend the main local results of that article to archimedean places so that the above condition can be removed. Along the way, we collect several results about the unitary dual of general linear groups over ℝ, ℂ or ℍ which are of independent interest.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/cd4580b851cf17661f4a1da183fb47762707aaed
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- On linear periods (2013, background): “For the Jacquet–Langlands correspondence involving general linear group and its inner forms, we refer to [3,4,6] for more details.”