The mod-\(p\) representation theory of the metaplectic cover of \(\operatorname{GL}_2(\mathbf{Q}_p)\)

DOI10.1007/S00229-024-01607-6MaRDI QIDQ6664079

Robin Witthaus

Publication date: 16 January 2025

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Modular representations and characters (20C20) Representations of Lie and linear algebraic groups over local fields (22E50)

Cites Work

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• The image of Colmez's Montreal functor
• Metaplectic forms
• Local Shimura correspondence
• Automorphic forms on covering groups of GL(2)
• Weil's representation and the spectrum of the metaplectic group
• Irreducible modular representations of GL\(_ 2\) of a local field
• Central characters for smooth irreducible modular representations of \(\operatorname{GL}_2(\mathbb Q_p)\)
• Hecke operators in half-integral weight
• The \(p\)-adic local Langlands correspondence for \(\mathrm{GL}_2(\mathbb{Q}_p)\)
• On modular forms of half integral weight
• \(p\)-modular representations of \(p\)-adic groups
• Towards a modulo \(p\) Langlands correspondence for \(\mathrm{GL}_{2}\)
• Extensions for supersingular representations of $GL_2(Q_p)$
• Le foncteur des invariants sous l'action du pro-p-Iwahori de GL2(F)
• L-Indistinguishability For SL (2)
• SUR QUELQUES REPRÉSENTATIONS MODULAIRES ET $p$-ADIQUES DE $\mathrm{GL}_2(\bm{Q}_{p})$. II
• Representations modulo p of the p-adic group GL(2, F)
• Principal Series Representations of Metaplectic Groups Over Local Fields
• The Bernstein Presentation for general connected reductive groups

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