Conservation relations for local theta correspondence
type: Item
instance of: scholarly article
title: Conservation relations for local theta correspondence
zbMATH Open document ID: 1321.22017
DOI: 10.1090/S0894-0347-2014-00817-1
author: Chen-Bo Zhu
author: Binyong Sun
published in: Journal of the American Mathematical Society
publication date: 2015-07-20T00:00:00Z
full work available at URL: https://arxiv.org/abs/1204.2969
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 22E50
Mathematics Subject Classification ID: 11F27
zbMATH DE Number: 6460476
zbMATH Keywords: conservation relation
zbMATH Keywords: oscillator representations
zbMATH Keywords: local theta correspondence
zbMATH Keywords: degenerate principal series
MaRDI profile type: Publication
arXiv ID: 1204.2969
cites work: Reductive dual pair correspondence for complex groups
cites work: Q4110092
cites work: Canonical Extensions of Harish-Chandra Modules to Representations of G
cites work: Q5567744
cites work: Q5795141
cites work: On the Structure of Unitary Groups (II)
cites work: Sur les représentations différentiables des groupes de Lie algébriques
cites work: Représentations tempérées des groupes de Lie nilpotents. (Tempered representations of nilpotent Lie groups)
cites work: Restrictions of representations of classical groups: examples
cites work: Formal degrees and local theta correspondence
cites work: The local Langlands conjecture for GSp(4), II: The case of inner forms
cites work: An inequality for local unitary theta correspondence
cites work: COHOMOLOGICAL AUTOMORPHIC FORMS ON UNITARY GROUPS, II: PERIOD RELATIONS AND VALUES OF L-FUNCTIONS
cites work: Theta dichotomy for unitary groups
cites work: Q3856974
cites work: Transcending Classical Invariant Theory
cites work: On the local theta-correspondence
cites work: Splitting metaplectic covers of dual reductive pairs
cites work: Degenerate principal series and invariant distributions
cites work: Ramified degenerate principal series representations for \(Sp(n)\)
cites work: Q5482677
cites work: Degenerate principal series representations for \(U(n,n)\)
cites work: Singular unitary representations of classical groups
cites work: MVW-extensions of quaternionic classical groups.
cites work: Howe quotients of unitary characters and unitary lowest weight modules
cites work: Q5482678
cites work: Degenerate principal series and local theta correspondence
cites work: Degenerate principal series and local theta correspondence. II
cites work: Degenerate principal series and local theta correspondence. III: The case of complex groups
cites work: Degenerate principal series of metaplectic groups and Howe correspondence
cites work: The explicit duality correspondence of (\(\text{Sp}(p,q),\text{O}^{*}(2n)\))
cites work: Q5823790
cites work: The conservation relation for cuspidal representations
cites work: Howe correspondences on a \(p\)-adic field
cites work: Q5675787
cites work: First Occurrence for the Dual Pairs (U(p, q), U(r, s))
cites work: Q4289006
cites work: On the occurrence of admissible representations in the real Howe correspondence in stable range
cites work: On Howe's duality theorem
cites work: The oscillator duality correspondence for the pair 𝑂(2,2),𝑆𝑝(2,𝑅)
cites work: ε factor of representations of classical groups
cites work: Q3762525
cites work: Complement to the appendix of: ``On the Howe duality conjecture''
cites work: On some explicit formulas in the theory of Weil representation
cites work: The Congruence Subgroup Problem Over Local Fields
cites work: Q3708857
cites work: p-Adic Lie Groups
cites work: Dual pairs and contragredients of irreducible representations
cites work: Almost linear Nash groups
cites work: On representations of real Jacobi groups
cites work: Q3209342
cites work: On the classification of Hermitian forms. II: Semisimple rings
cites work: Q3994337
cites work: Q4004200
cites work: Sur certains groupes d'opérateurs unitaires
cites work: The Witt group of quadratic characters.
cites work: Degenerate principal series representations for quaternionic unitary groups
cites work: Theta dichotomy and doubling epsilon factors for Sp͠n(F)
description: scientific article; zbMATH DE number 6460476