Note on invariance over weakly unramified characters of \(p\)-adic groups

DOI10.1090/PROC/17005MaRDI QIDQ6654019

Kwangho Choiy

Publication date: 18 December 2024

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

Mathematics Subject Classification ID

Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) (p)-adic theory (11E95)

Cites Work

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• Transfer of \(R\)-groups between \(p\)-adic inner forms of \(\mathrm{SL}_n\)
• On elliptic tempered characters
• \(R\)-groups and elliptic representations for \(SL_ n\)
• Dual \(R\)-groups of the inner form of \(\mathrm{SL}(N)\)
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• The stable Bernstein center and test functions for Shimura varieties
• The Local Langlands Conjectures for Non-quasi-split Groups
• On Satake Parameters for Representations with Parahoric Fixed Vectors
• The Satake isomorphism for special maximal parahoric Hecke algebras
• $L$-indistinguishability and $R$-groups for quasisplit groups : unitary groups in even dimension
• The Knapp-Stein Dimension Theorem for p-Adic Groups
• Reducibility of Induced Representations for SP(2N) and SO(N)
• Correction to “On Satake parameters for representations with parahoric fixed vectors”
• Behavior of $R$-groups for $p$-adic inner forms of quasi-split special unitary groups
• Tempered non-discrete spectrum for pseudo-$z$-embedding
• Weakly unramified representations, finite morphisms, and Knapp-Stein \(R\)-groups

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