R-GROUP AND WHITTAKER SPACE OF SOME GENUINE REPRESENTATIONS

DOI10.1017/S1474748021000128MaRDI QIDQ5881523

No author found.

Publication date: 10 March 2023

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.07408

zbMATH Keywords

Plancherel measurescattering matrixcovering groupsgamma factor\(R\)-groupsWhittaker functionals

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (1)

R-group and Whittaker space of some genuine representations. II

Cites Work

• Unnamed Item
• 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
• Split metaplectic groups and their L-groups
• Arthur packets and the Ramanujan conjecture
• Metaplectic forms
• A note on \(L\)-packets
• Metaplectic tori over local fields
• On the decomposition of reducible principal series representations of p- adic Chevalley groups
• Reducibility of unramified unitary principal series representations of p- adic groups and class-1 representations
• Some results on the unramified principal series of \(p\)-adic groups
• On the functional equations satisfied by Eisenstein series
• On elliptic tempered characters
• Non-generic unramified representations in metaplectic covering groups
• On Shahidi local coefficients matrix
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• L-indistinguishability for real groups
• Central extensions of reductive groups by \(K_2\).
• Knapp-Stein dimension theorem for finite central covering groups
• Kazhdan-Lusztig representations and Whittaker space of some genuine representations
• Distinguished theta representations for certain covering groups
• Trace formula for coverings of connected reductive groups. I: Fine geometric expansion
• The metaplectic Casselman-Shalika formula
• Lectures on Chevalley Groups
• The Knapp-Stein Dimension Theorem for p-Adic Groups. Correction
• Some Results on L-Indistinguishability for SL(r)
• $L$-indistinguishability and $R$-groups for quasisplit groups : unitary groups in even dimension
• Artin $L$-functions and normalization of intertwining operators
• L-Indistinguishability For SL (2)
• Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23): Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73
• Reducibility of Principal Series Representations of p-Adic Chevalley Groups
• Singular Integrals and the Principal Series, IV
• The Knapp-Stein Dimension Theorem for p-Adic Groups
• Reducibility of Induced Representations for SP(2N) and SO(N)
• Arthur R-groups, classical R-groups, and Aubert involutions for SO(2n + 1)
• Principal Series Representations of Metaplectic Groups Over Local Fields
• 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>
• Symmetric Genuine Spherical Whittaker Functions on
• Whittaker Models for Depth Zero Representations of Covering Groups
• The Langlands-Shahidi L-Functions for Brylinski-Deligne Extensions
• Local Coefficients and Gamma Factors for Principal Series of Covering Groups

This page was built for publication: R-GROUP AND WHITTAKER SPACE OF SOME GENUINE REPRESENTATIONS