Invariance of 𝑅-groups between 𝑝-adic inner forms of quasi-split classical groups

DOI10.1090/tran/6485zbMath1335.22018arXiv1310.2625OpenAlexW2964170052MaRDI QIDQ2796524

Kwangho Choiy, David Goldberg

Publication date: 29 March 2016

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

Full work available at URL: https://arxiv.org/abs/1310.2625

zbMATH Keywords

\(L\)-packets\(R\)-groupstempered spectrum\(p\)-adic inner forms of classical groupselliptic spectrum

Mathematics Subject Classification ID

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

Related Items (6)

Weakly unramified representations, finite morphisms, and Knapp-Stein \(R\)-groups ⋮ Local Langlands correspondence for classical groups and affine Hecke algebras ⋮ On compatibility in restriction of Arthur's conjecture for \(R\)-groups ⋮ Endoscopic character identities for metaplectic groups ⋮ Local Langlands correspondence for even orthogonal groups via theta lifts ⋮ Tempered non-discrete spectrum for pseudo-$z$-embedding

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(R\)-groups and parameters
• Transfer of \(R\)-groups between \(p\)-adic inner forms of \(\mathrm{SL}_n\)
• \(R\)-groups, elliptic representations, and parameters for GSpin groups
• Stable trace formula: Cuspidal tempered terms
• Stable trace formula: Elliptic singular terms
• On elliptic tempered characters
• Elliptic representations for \(\text{Sp}(2n)\) and \(\text{SO}(n)\)
• Paquets stables de représentations tempérées et de réduction unipotente pour \(\text{SO}(2n+1)\). (Stable packets of tempered representations and unipotent reduction for \(\text{SO}(2n+1)\).)
• Rational conjugacy classes in reductive groups
• A submersion principle and its applications
• On the tempered spectrum of quasi-split classical groups
• A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
• Dual \(R\)-groups of the inner form of \(\mathrm{SL}(N)\)
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• On 𝐿-packets for inner forms of 𝑆𝐿_{𝑛}
• Contragredient representations and characterizing the local Langlands correspondence
• The Knapp-Stein Dimension Theorem for p-Adic Groups
• Induced representations of reductive ${\germ p}$-adic groups. I
• Reducibility of Induced Representations for SP(2N) and SO(N)
• Complementary Series for Hermitian Quaternionic Groups
• R groups for quaternionic hermitian groups
• Transfer of Plancherel Measures for Unitary Supercuspidal Representations betweenp-adic Inner Forms
• Linear algebraic groups.

This page was built for publication: Invariance of 𝑅-groups between 𝑝-adic inner forms of quasi-split classical groups