Dual pair correspondences for non-linear covers of orthogonal groups

DOI10.1016/j.jfa.2008.04.009zbMath1149.22013OpenAlexW2166963222MaRDI QIDQ935051

Gordan Savin, Huang Yean Loke

Publication date: 31 July 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.04.009

zbMATH Keywords

Lie groupsDual pairsRepresentations

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46)

Related Items (1)

Transfers of \(K\)-types on local theta lifts of characters and unitary lowest weight modules

Cites Work

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• Representations of real reductive Lie groups
• Discrete decomposability of the restriction of \(A_{{\mathfrak q}}(\lambda)\) with respect to reductive subgroups. III: Restriction of Harish-Chandra modules and associated varieties
• Nilpotent orbits and some small unitary representations of indefinite orthogonal groups.
• Theta lifting of unitary lowest weight modules and their associated cycles
• Some small unipotent representations of indefinite orthogonal groups
• Transfer of unitary representations
• Unitary Shimura correspondences for split real groups
• The smallest representations of nonlinear covers of odd orthogonal groups
• On quaternionic discrete series representations, and their continuations.
• Howe quotients of unitary characters and unitary lowest weight modules

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