Unitary genuine principal series of the metaplectic group

DOI10.1090/S1088-4165-10-00367-5zbMath1200.22006OpenAlexW2037100678MaRDI QIDQ3558897

Annegret Paul, Alessandra Pantano, Susana A. Salamanca-Riba

Publication date: 11 May 2010

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4165-10-00367-5

zbMATH Keywords

unitary representationmetaplectic groupgenuine representation

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (1)

Compact Schur-Weyl duality and the type B/C VW-algebra

Cites Work

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• Singular unitary representations of classical groups
• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Reducibility of generalized principal series representations
• Representations of real reductive Lie groups
• The Genuine Omega-regular Unitary Dual of the Metaplectic Group
• Transcending Classical Invariant Theory
• Unitary Shimura correspondences for split real groups
• The unitary spherical spectrum for split classical groups
• Unitarizable minimal principal series of reductive groups
• Classification of irreducible tempered representations of semisimple Lie groups
• The duality correspondence of infinitesimal characters
• Reduction to Real Infinitesimal Character in Affine Hecke Algebras
• Lie groups and quantum mechanics

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