Transfer of Plancherel Measures for Unitary Supercuspidal Representations betweenp-adic Inner Forms

DOI10.4153/CJM-2012-063-1zbMath1294.22013arXiv1308.5443OpenAlexW2963218513MaRDI QIDQ5419188

Kwangho Choiy

Publication date: 6 June 2014

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5443

zbMATH Keywords

Plancherel measureJacquet-Langlands correspondenceinner formsupercuspidal automorphic representation

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (7)

The local Langlands conjecture for \(p\)-adic \(\mathrm{GSpin}_{4}\), \(\mathrm{GSpin}_{6}\), and their inner forms ⋮ Weakly unramified representations, finite morphisms, and Knapp-Stein \(R\)-groups ⋮ On compatibility in restriction of Arthur's conjecture for \(R\)-groups ⋮ Transfer of \(R\)-groups between \(p\)-adic inner forms of \(\mathrm{SL}_n\) ⋮ Invariance of 𝑅-groups between 𝑝-adic inner forms of quasi-split classical groups ⋮ Tempered non-discrete spectrum for pseudo-$z$-embedding ⋮ Restricting toral supercuspidal representations to the derived group, and applications

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