CAP representations of \(G_{2}\) and the spin \(L\)-function of \(\mathrm{PGSp}_6\)

DOI10.1007/s11856-009-0018-9zbMath1177.22010OpenAlexW2060362616MaRDI QIDQ839903

Nadya Gurevich, Gan, Wee Teck

Publication date: 3 September 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0018-9

zbMATH Keywords

Arthur packetsCAP representations

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 (6)

The local Gan-Gross-Prasad conjecture for \(U(3)\times U(2)\): the non-generic case ⋮ How can we construct abelian Galois extensions of basic number fields? ⋮ Howe duality and dichotomy for exceptional theta correspondences ⋮ The degenerate Eisenstein series attached to the Heisenberg parabolic subgroups of quasi-split forms of 𝑆𝑝𝑖𝑛₈ ⋮ On the Ramanujan conjecture for automorphic forms over function fields I. Geometry ⋮ An exceptional Siegel–Weil formula and poles of the Spin L-function of

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiplicity formula for cubic unipotent Arthur packets
• Pullback of the lifting of elliptic cusp forms and Miyawaki's conjecture
• On the Saito-Kurokawa lifting
• Vanishing periods of cusp forms over modular symbols
• The unitary dual of \(p\)-adic \(G_2\)
• Cubic unipotent Arthur parameters and multiplicities of square integrable automorphic forms
• Some applications of seesaw duality to branching laws
• Theta Correspondence Associated to G 2
• Nontempered A-packets of G 2: Liftings from SL 2
• A Class of Supercuspidal Representations of G₂(k)
• An Automorphic Theta Module for Quaternionic Exceptional Groups
• The Saito-Kurokawa lifting and functoriality
• Correspondances de Shimura et quaternions
• Sur certains paquets d’Arthur et involution d’Aubert-Schneider-Stuhler généralisée
• Periods and liftings: From \(G_2\) to \(C_3\)
• On the lifting of elliptic cusp forms to Siegel cusp forms of degree \(2n\)

This page was built for publication: CAP representations of \(G_{2}\) and the spin \(L\)-function of \(\mathrm{PGSp}_6\)