On local lifts from \(G_2(\mathbb R)\) to \(\mathrm{Sp}_6(\mathbb R)\) and \(F_4(\mathbb R)\)

DOI10.1007/s11856-007-0051-5zbMath1125.22007OpenAlexW2315462448MaRDI QIDQ995401

Gordan Savin, Huang Yean Loke

Publication date: 3 September 2007

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

Full work available at URL: https://doi.org/10.1007/s11856-007-0051-5

zbMATH Keywords

principal series representationsminimal representationminimal K-typesLanglands quotientsSplit dual pair

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (2)

Duality for spherical representations in exceptional theta correspondences ⋮ Dichotomy for generic supercuspidal representations ofG₂

Cites Work

• The algebraic structure of the representation of semisimple Lie groups. I
• Reducibility of generalized principal series representations
• New dual pair correspondences
• The correspondences of infinitesimal characters for reductive dual pairs in simple Lie groups
• Minimal representations of E6, E7, and E8 and the generalized Capelli identity.
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