On the irreducibility of some induced representations of real reductive Lie groups

DOI10.2140/TUNIS.2019.1.73zbMath1471.22015OpenAlexW2789963805WikidataQ115230541 ScholiaQ115230541MaRDI QIDQ1728187

Atsushi Ichino, Gan, Wee Teck

Publication date: 22 February 2019

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

Full work available at URL: https://semanticscholar.org/paper/dd627b7b7fbe5490b49c4161f21a7dcc81e4a443

zbMATH Keywords

irreducibilityreal reductive groupsArthur packetsmetaplectic groups

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over local fields (22E50) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (1)

The Shimura-Waldspurger correspondence for \(\mathrm{Mp}_{2n}\)

Cites Work

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• Irreducible characters of semisimple Lie groups. IV: Character - multiplicity duality
• Classification of irreducible tempered representations of semisimple groups. I
• Reducibility of generalized principal series representations
• Representations of real reductive Lie groups
• Intertwining operators and residues. I: Weighted characters
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• Unitarizability of certain series of representations
• Formal degrees and local theta correspondence
• On the representations of Sp(p, q) and SO*(2n) unitarily induced from derived functor modules

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