Global Jacquet–Langlands correspondence, multiplicity one and classification of automorphic representations
AI Badulescu - Inventiones mathematicae, 2008 - Springer
In this paper we generalize the local Jacquet-Langlands correspondence to all unitary
irreducible representations. We prove the global Jacquet-Langlands correspondence in …
irreducible representations. We prove the global Jacquet-Langlands correspondence in …
Automorphic Forms, Cohomology and CAP Representations. The Case over a definite quaternion algebra
H Grobner - arXiv preprint arXiv:1003.2326, 2010 - arxiv.org
In this paper we fully describe the cuspidal and the Eisenstein cohomology of the group $
G= GL_2 $ over a definite quaternion algebra $ D/\Q $. Functoriality is used to show the …
G= GL_2 $ over a definite quaternion algebra $ D/\Q $. Functoriality is used to show the …
Residual spectra of split classical groups and their inner forms
N Grbac - Canadian journal of mathematics, 2009 - cambridge.org
This paper is concerned with the residual spectrum of the hermitian quaternionic classical
groups G′ n and H′ n defined as algebraic groups for a quaternion algebra over an …
groups G′ n and H′ n defined as algebraic groups for a quaternion algebra over an …
[PDF][PDF] An exercise in automorphic cohomology–the case GL2 over a quaternion algebra
N Grbac, J Schwermer - Arithmetic geometry and automorphic forms, 2011 - tania.unipu.hr
The cohomology of an arithmetic subgroup of a connected reductive algebraic group
defined over a number field may be interpreted in terms of the space of automorphic forms …
defined over a number field may be interpreted in terms of the space of automorphic forms …
On the residual spectrum of Hermitian quaternionic inner form of SO_8
N Grbac - Glasnik matematički, 2009 - hrcak.srce.hr
Sažetak In this paper we decompose the residual spectrum supported in the minimal
parabolic subgroup of an inner form of the split group SO8. The approach is the Langlands …
parabolic subgroup of an inner form of the split group SO8. The approach is the Langlands …
[PDF][PDF] The residual spectrum of ; contribution from Borel subgroups
HH Kim - Bulletin of the Iranian Mathematical Society, 2017 - bims.iranjournals.ir
In this paper we study the residual spectrum of the quasi-split unitary group $ G= U (n, n) $
defined over a number field $ F $, coming from the Borel subgroups, $ L_ {dis}^ 2 (G …
defined over a number field $ F $, coming from the Borel subgroups, $ L_ {dis}^ 2 (G …