Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field

DOI10.1090/ert/659arXiv2206.14731OpenAlexW4388283474MaRDI QIDQ6062216

Erez M. Lapid, Jiandi Zou, Eyal Kaplan

Publication date: 30 November 2023

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

Full work available at URL: https://arxiv.org/abs/2206.14731

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Metaplectic tensor products for irreducible representations
• On parabolic induction on inner forms of the general linear group over a non-archimedean local field
• Trace Paley-Wiener theorem for reductive p-adic groups
• Twisted endoscopy and reducibility of induced representations for \(p\)- adic groups
• Basic number theory.
• Metaplectic correspondence
• Central extensions of reductive groups by \(K_2\).
• Remarks on metaplectic tensor products for covers of \(\mathrm{GL}_r\)
• Smooth representations modulo \(\ell\) of \(\mathrm{GL}_m(D)\)
• Topological covering of SL(2) over a local field
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• Sur certains groupes d'opérateurs unitaires
• Quantization of symplectic vector spaces over finite fields
• Metaplectic Tensor Products for Automorphic Representation of (r)
• Compatible intertwiners for representations of finite nilpotent groups
• The Langlands quotient theorem for finite central extensions of p-adic groups
• The Langlands quotient theorem for finite central extensions of p-adic groups II: intertwining operators and duality
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Group Extensions and Cohomology for Locally Compact Groups. III
• Induced representations of reductive ${\germ p}$-adic groups. I
• Block-compatible metaplectic cocycles
• The tensor product of exceptional representations on the general linear group
• A metaplectic Casselman-Shalika formula for GL<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><i>r</i></sub>
• Introduction to Algebraic K-Theory. (AM-72)
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés
• A note on the representation theory of central extensions of reductive p -adic groups

This page was built for publication: Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field