Kazhdan-Patterson lifting for \(GL(n,\mathbb{R})\)

DOI10.1215/S0012-7094-97-08919-5zbMath0883.22017OpenAlexW2001288920MaRDI QIDQ1373180

Jing-Song Huang, Jeffrey D. Adams

Publication date: 23 February 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08919-5

zbMATH Keywords

automorphic formstrace formulaShimura correspondencecuspidal representationsreal groups

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (3)

Small unitary representations of the double cover of $\operatorname{SL}(m)$ ⋮ Some genuine small representations of a nonlinear double cover ⋮ Lifting of characters for nonlinear simply laced groups

Cites Work

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• Metaplectic forms
• The unitary dual of the universal covering group of \(\mathrm{GL}(n,\mathbb{R})\)
• The unitary dual of \(\mathrm{GL}(n)\) over an archimedean field
• Automorphic forms on covering groups of GL(2)
• Representations of real reductive Lie groups
• Irreducible characters of semisimple Lie groups. I
• On some explicit formulas in the theory of Weil representation
• Towards a generalized Shimura correspondence
• Metaplectic correspondence
• On characters of irreducible unitary representations of general linear groups
• Correspondence on characters of irreducible unitary representations of \(GL(n,\mathbb{C})\)
• Analysis in matrix spaces and some new representations of \(SL(N,\mathbb{C})\)
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés

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