The unitary dual of \(p\)-adic \(G_2\)

DOI10.1215/S0012-7094-97-09012-8zbMath0896.22006OpenAlexW141118897MaRDI QIDQ1376021

Goran Muić

Publication date: 27 August 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-09012-8

zbMATH Keywords

intertwining operatorHowe correspondencesirreducible unitarizable representationssimply connected split simple group

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (27)

Geometric structure in the principal series of the 𝑝-adic group 𝐺₂ ⋮ CAP representations of \(G_{2}\) and the spin \(L\)-function of \(\mathrm{PGSp}_6\) ⋮ Unnamed Item ⋮ Functoriality and the inverse Galois problem. II: Groups of type \(B_n\) and \(G_2\) ⋮ Construction of Steinberg type representations for reductive \(p\)-adic groups ⋮ Duality for classical 𝑝-adic groups: The half-integral case ⋮ Degenerate principal series for even-orthogonal groups ⋮ The degenerate principal series representations of exceptional groups of type \(E_7\) over \(p\)-adic fields ⋮ Hecke algebras for \(p\)-adic reductive groups and local Langlands correspondences for Bernstein blocks ⋮ Howe duality and dichotomy for exceptional theta correspondences ⋮ The degenerate principal series representations of exceptional groups of type \(E_6\) over \(p\)-adic fields ⋮ Unitary representations of \(p\)-adic \(U(5)\) ⋮ The Langlands dual and unitary dual of quasi-split 𝑃𝐺𝑆𝑂₈^{𝐸} ⋮ On minimal representations of Chevalley groups of type \(D_n\), \(E_n\) and \(G_{2}\) ⋮ Geometric structure in the representation theory of \(p\)-adic groups ⋮ Langlands-Shahidi method and poles of automorphic \(L\)-functions. III: Exceptional groups ⋮ Unitary dual of p-adic group SO(7) with support on minimal parabolic subgroup ⋮ Holomorphy of Rankin triple \(L\)-functions; special values and root numbers for symmetric cube \(L\)-functions ⋮ The unitary 𝕀–spherical dual for split 𝕡–adic groups of type 𝔽₄ ⋮ The unitary dual of p-adic $SO(5)$ ⋮ A Siegel-Weil formula for automorphic characters: Cubic variation of a theme of Snitz ⋮ Unitary ℐ-spherical representations for split 𝓅-adic 𝐄₆ ⋮ On unitary unipotent representations of 𝑝-adic groups and affine Hecke algebras with unequal parameters ⋮ Arthur packets for \(G_2\) and perverse sheaves on cubics ⋮ Langlands-Shahidi method and poles of automorphic \(L\)-functions. II. ⋮ Whittaker unitary dual of affine graded Hecke algebras of type E ⋮ The generalized injectivity conjecture

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