The local Langlands conjecture for GSp (4)

WT Gan, S Takeda - Annals of mathematics, 2011 - JSTOR
The local Langlands conjecture for GSp(4) Page 1 Annals of Mathematics 173 (2011), 1841-1882
doi: 10.4007/aimals.2011.173.3.12 The local Langlands conjecture for GSp(4) By Wee Teck …

Arthur's multiplicity formula for and restriction to

T Gee, O Taïbi - Journal de l'École polytechnique …, 2019 - jep.centre-mersenne.org
Arthur's multiplicity formula for GSp4 and restriction to Sp4 Page 1 Toby Gee & Olivier Taïbi
Arthur’s multiplicity formula for GSp4 and restriction to Sp4 Tome 6 (2019), p. 469-535. <http://jep.centre-mersenne.org/item/JEP_2019__6__469_0> …

Multiplicity one theorems for Fourier-Jacobi models

B Sun - American Journal of Mathematics, 2012 - muse.jhu.edu
For every genuine irreducible admissible smooth representation $\pi $ of the metaplectic
group $\widetilde {{\rm Sp}}(2n) $ over a $ p $-adic field, and every smooth oscillator …

Arelative'local Langlands correspondence

D Prasad - arXiv preprint arXiv:1512.04347, 2015 - arxiv.org
For $ E/F $ quadratic extension of local fields and $ G $ a reductive algebraic group over $ F
$, the paper formulates a conjecture classifying irreducible admissible representations of …

[图书][B] Variations on a theorem of Tate

S Patrikis - 2019 - ams.org
Let $ F $ be a number field. These notes explore Galois-theoretic, automorphic, and motivic
analogues and refinements of Tate's basic result that continuous projective representations …

Some results on Bessel functionals for GSp (4)

B Roberts, R Schmidt - Documenta Mathematica, 2016 - content.ems.press
We prove that every irreducible, admissible representation π of GSp (4, F), where F is a non-
archimedean local field of characteristic zero, admits a Bessel functional, provided π is not …

The local Langlands conjecture for Sp (4)

WT Gan, S Takeda - International Mathematics Research …, 2010 - ieeexplore.ieee.org
We show that the local Langlands conjecture for Sp 2n (F) follows from that for GSp 2n (F),
where F is a non-Archimedean local field of characteristic 0. In particular, we prove the local …

L-packets of quasisplit GSp(2n) and GO(2n)

B Xu - Mathematische Annalen, 2018 - Springer
Abstract In his monograph Arthur (The endoscopic classification of representations:
orthogonal and symplectic groups, Colloquium Publications, American Mathematical …

On a lifting problem of L-packets

B Xu - Compositio Mathematica, 2016 - cambridge.org
Abstract Let G⊆ CG be two quasisplit connected reductive groups over a local field of
characteristic zero and having the same derived group. Although the existence of L-packets …

A note on Jacquet modules of general linear groups

P Dagar, MK Verma - arXiv preprint arXiv:2405.05719, 2024 - arxiv.org
Let F be a non-Archimedean local field. Consider G_n:= GL_n (F) and let M:= G_l* G_ {nl} be
a maximal Levi subgroup of G_n. In this article, we compute the semisimplified Jacquet …