A proof of the Howe duality conjecture
WT Gan, S Takeda - Journal of the American Mathematical Society, 2016 - JSTOR
A proof of the Howe duality conjecture Page 1 JOURNAL OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 29, Number 2, April 2016, Pages 473–493 http://dx.doi.org/10.1090/jams/839 …
MATHEMATICAL SOCIETY Volume 29, Number 2, April 2016, Pages 473–493 http://dx.doi.org/10.1090/jams/839 …
Formal degrees and local theta correspondence
WT Gan, A Ichino - Inventiones mathematicae, 2014 - Springer
Let F be a non-archimedean local field of characteristic 0 and residual characteristic p. Let G
be a reductive linear algebraic group over F; we shall identify G with its group of rational …
be a reductive linear algebraic group over F; we shall identify G with its group of rational …
[HTML][HTML] Geometric conditions for□-irreducibility of certain representations of the general linear group over a non-archimedean local field
E Lapid, A Mínguez - Advances in Mathematics, 2018 - Elsevier
Let π be an irreducible, complex, smooth representation of GL n over a local non-
archimedean (skew) field. Assuming π has regular Zelevinsky parameters, we give a …
archimedean (skew) field. Assuming π has regular Zelevinsky parameters, we give a …
On the Howe duality conjecture in classical theta correspondence
WT Gan, S Takeda - arXiv preprint arXiv:1405.2626, 2014 - arxiv.org
We give a proof of the Howe duality conjecture for the (almost) equal rank dual pairs in full
generality. For arbitrary dual pairs, we prove the irreducibility of the (small) theta lifts for all …
generality. For arbitrary dual pairs, we prove the irreducibility of the (small) theta lifts for all …
Uniqueness of twisted linear periods and twisted Shalika periods
F Chen, B Sun - Science China Mathematics, 2020 - Springer
Let k be a local field of characteristic zero. Let π be an irreducible admissible smooth
representation of GL 2 n (k). We prove that for all but countably many characters χ's of GL n …
representation of GL 2 n (k). We prove that for all but countably many characters χ's of GL n …
Howe duality and dichotomy for exceptional theta correspondences
WT Gan, G Savin - Inventiones mathematicae, 2023 - Springer
We study three exceptional theta correspondences for p-adic groups, where one member of
the dual pair is the exceptional group G 2. We prove the Howe duality conjecture for these …
the dual pair is the exceptional group G 2. We prove the Howe duality conjecture for these …
The Howe duality conjecture: quaternionic case
WT Gan, B Sun - Representation Theory, Number Theory, and Invariant …, 2017 - Springer
The Howe Duality Conjecture: Quaternionic Case | SpringerLink Skip to main content
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Explicit Constructions of Automorphic Forms: Theta Correspondence and Automorphic Descent
WT Gan - arXiv preprint arXiv:2303.14919, 2023 - arxiv.org
arXiv:2303.14919v1 [math.NT] 27 Mar 2023 Page 1 arXiv:2303.14919v1 [math.NT] 27 Mar 2023
EXPLICIT CONSTRUCTIONS OF AUTOMORPHIC FORMS: THETA CORRESPONDENCE …
EXPLICIT CONSTRUCTIONS OF AUTOMORPHIC FORMS: THETA CORRESPONDENCE …
Sur l'irréductibilité d'une induite parabolique
A Mínguez - 2009 - degruyter.com
Let F be a non-Archimedean locally compact field and let D be a central division algebra
over F. Let π1 and π2 be respectively two smooth irreducible representations of GL (n 1, D) …
over F. Let π1 and π2 be respectively two smooth irreducible representations of GL (n 1, D) …
[HTML][HTML] Dihedral long root A-packets of p-adic G2 via theta correspondence
R Alonso, Q He, M Ray, M Roset - Advances in Mathematics, 2024 - Elsevier
Dihedral long root A-packets of p-adic G2 via theta correspondence - ScienceDirect Skip to
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