Small unitary representations of the double cover of $\operatorname{SL}(m)$

DOI10.1090/S0002-9947-08-04401-2zbMath1140.22010OpenAlexW1588752302MaRDI QIDQ3506713

Adam R. Lucas

Publication date: 17 June 2008

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04401-2

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) General properties and structure of real Lie groups (22E15)

Related Items (2)

Some genuine small representations of a nonlinear double cover ⋮ On the space of 𝐾-finite solutions to intertwining differential operators

Cites Work

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• The unitary dual of the universal covering group of \(\mathrm{GL}(n,\mathbb{R})\)
• The algebraic structure of the representation of semisimple Lie groups. I
• Reducibility of generalized principal series representations
• Representations of real reductive Lie groups
• A proof of Blattner's conjecture
• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• Gelfand-Kirillov dimension for Harish-Chandra modules
• Irreducible characters of semisimple Lie groups. I
• Kazhdan-Patterson lifting for \(GL(n,\mathbb{R})\)
• Picard-Lefschetz theory for the coadjoint quotient of a semisimple Lie algebra
• Picard-Lefschetz theory and characters of a semisimple Lie group
• Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen
• Quantization and unitary representations

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