Dichotomy for generic supercuspidal representations ofG2
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Publication:3008414
DOI10.1112/S0010437X10005178zbMath1279.22024arXiv0908.3340OpenAlexW3103407670MaRDI QIDQ3008414
Gordan Savin, Martin H. Weissman
Publication date: 15 June 2011
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.3340
Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11R39)
Related Items (4)
Modular forms on indefinite orthogonal groups of rank three โฎ The Local Langlands Conjecture for โฎ A local Langlands parameterization for generic supercuspidal representations of $p$-adic $G_2$ โฎ Howe duality and dichotomy for exceptional theta correspondences
Cites Work
- Unnamed Item
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- Local Shalika models and functoriality
- On local lifts from \(G_2(\mathbb R)\) to \(\mathrm{Sp}_6(\mathbb R)\) and \(F_4(\mathbb R)\)
- On the local theta-correspondence
- Chevalley groups of type \(G_ 2\) as the group of a trilinear form
- A class of nonassociative algebras with involution containing the class of Jordan algebras
- Dual pair \(G_{\mathcal J}\times PGL_ 2 G_{\mathcal J}\) is the automorphism group of the Jordan algebra \({\mathcal J}\)
- A tower of theta correspondences for \(G_ 2\)
- The spin \(L\)-function on the symplectic group GSp(6)
- A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
- On explicit lifts of cusp forms from \(\text{GL}_m\) to classical groups
- Symplectic-orthogonal theta lifts of generic discrete series
- A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
- Jordan algebras, exceptional groups, and Bhargava composition
- Les sous-groupes fermes de rang maximum des groupes de Lie clos
- Derivation algebras and multiplication algebras of semi-simple Jordan algebras
- Some applications of Gelfand pairs to number theory
- Models of isotropic simple lie algebras
- L-packets and reducibilities
- On a correspondence between cuspidal representations of ๐บ๐ฟ_{2๐} and ๐๐ฬ_{2๐}
- The Dual Pair G2 ร PU3 (D) (p-Adic Case)
- A Class of Supercuspidal Representations of G2(k)
- On functoriality of Zelevinski involutions
- Arthur R-groups, classical R-groups, and Aubert involutions for SO(2n + 1)
- Endoscopic lifts from PGL3 to G2
- Dualite Dans Le Groupe De Grothendieck De La Categorie Des Representations Lisses De Longueur Finie D'un Groupe Reductif p-Adique
- Imbedding of Jordan Algebras into Lie Algebras. I
- On the local Langlands conjecture in prime dimension
- Periods and liftings: From \(G_2\) to \(C_3\)
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