Depth preservation in local theta correspondence

DOI10.1215/S0012-7094-02-11334-9zbMath1011.22009OpenAlexW1970069212MaRDI QIDQ1847937

Shu-Yen Pan

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-02-11334-9

zbMATH Keywords

depthlocal theta correspondenceHowe dualitydual reductive pair

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

Local theta correspondences between epipelagic supercuspidal representations, Local Theta Correspondences between Supercuspidal Representations, ON THE LOCAL LANGLANDS CORRESPONDENCE FOR SPLIT CLASSICAL GROUPS OVER LOCAL FUNCTION FIELDS, Local theta correspondence and minimal \(K\)-types of positive depth, Local theta correspondence for small unitary groups, Asymptotics of Betti numbers of arithmetic varieties

Cites Work

• On the local theta-correspondence
• Howe correspondences on a \(p\)-adic field
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Splitting metaplectic covers of dual reductive pairs
• Local theta correspondence of depth zero representations and theta dichotomy.
• Splittings of the metaplectic covers of some reductive dual pairs.
• Jacquet functors and unrefined minimal \(K\)-types
• On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
• Schémas en groupes et immeubles des groupes classiques sur un corps local. II : groupes unitaires
• Correspondance de Howe et sous-groupes parahoriques.
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