Conservation relations for local theta correspondence

2012/04/13 by Binyong Sun, Sun, Binyong, Chen-Bo Zhu +1
Mathematics · #22E46 #22E50 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:22E46 #msc:22E50

paper · pdf · doi:10.48550/arxiv.1204.2969

To appear in J. Amer. Math.Soc

openalex publication_date 2012/04/13 · arxiv created 2014/06/02 · arxiv updated 2014/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove Kudla-Rallis conjecture on first occurrences of local theta correspondence, for all type I irreducible dual pairs and all local fields of characteristic zero.

Citations

• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• MVW-extensions of real quaternionic classical groups

Related

• Conservation relations for local theta correspondence
• Coincidence of algebraic and smooth theta correspondences
• Theta correspondence for symplectic-orthogonal and metaplectic-orthogonal p-adic dual pairs
• The ℓ-modular local theta correspondence
• Lectures on local theta correspondence