Proof of the Tadić conjecture (U0) on the unitary dual of GL m (D)
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Publication:3600029
DOI10.1515/CRELLE.2009.007zbMath1170.22009arXivmath/0702023OpenAlexW2057190807WikidataQ122930336 ScholiaQ122930336MaRDI QIDQ3600029
Publication date: 10 February 2009
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0702023
Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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Cites Work
- Simply connected nonpositively curved surfaces in \(\mathbb R\)
- A unitarity criterion for p-adic groups
- Level zero types and Hecke algebras for local central simple algebras
- An irreducibility result in non-zero characteristic
- Global Jacquet-Langlands correspondence, multiplicity one and classification of automorphic representations. With an appendix by Neven Grbac.
- Représentations lisses de GL(m, D) II : β-extensions
- Smooth representations of reductive p -ADIC groups: structure theory via types
- Local Rankin-Selberg convolutions for 𝐺𝐿_{𝑛}: Explicit conductor formula
- Reduction to Real Infinitesimal Character in Affine Hecke Algebras