A proof of the Howe duality conjecture

2015/06/03 by Wee Teck Gan, Shuichiro Takeda · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Mathematics #Symplectic geometry #Conjecture #Duality (order theory) #Unitary state #Pure mathematics #Dual (grammatical number) #Residual #Algebra over a field #Combinatorics

paper · pdf · doi:10.1090/jams/839

openalex publication_date 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Abstract

We give a proof of the Howe duality conjecture in the theory of local theta correspondence for symplectic-orthogonal or unitary dual pairs in arbitrary residual characteristic.

Citations

• Correspondances de Howe sur un corps p-adique
• On the local theta-correspondence
• Transcending Classical Invariant Theory

Cited by

• On the Fourier–Jacobi model for someendoscopic Arthur packet of U(3) × U(3) : the nongeneric case
• Local intertwining relation for metaplectic groups
• Theta correspondence for symplectic-orthogonal and metaplectic-orthogonal p-adic dual pairs
• Holographic duality from Howe duality: Chern-Simons gravity as an ensemble of code CFTs
• Theta correspondence [wikipedia]

Related

• A proof of the Howe duality conjecture
• The Howe duality conjecture: quaternionic case
• On the Howe duality conjecture in classical theta correspondence
• Theta correspondence for symplectic-orthogonal and metaplectic-orthogonal p-adic dual pairs
• A note on the Howe Duality conjecture for symplectic-orthogonal and unitary pairs