Local theta correspondence of depth zero representations and theta dichotomy.

DOI10.2969/JMSJ/1191591993zbMath1039.22012OpenAlexW2070342499MaRDI QIDQ1396384

Shu-Yen Pan

Publication date: 30 June 2003

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1191591993

zbMATH Keywords

Weil representationdual pairHowe correspondence\(p\)-adic classical grouplevel zero representation

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (12)

Local Theta Correspondences between Supercuspidal Representations ⋮ Descents of unipotent cuspidal representations of finite classical groups ⋮ Theta lifts and distinction for regular supercuspidal representations ⋮ Generic Hecke algebra and theta correspondence over finite fields ⋮ Local theta correspondence and minimal \(K\)-types of positive depth ⋮ Supercuspidal representations and preservation principle of theta correspondence ⋮ Local theta correspondence for small unitary groups ⋮ Depth-zero base change for ramified $U(2,1)$ ⋮ On the Gan-Gross-Prasad problem for finite classical groups ⋮ Gamma factors and converse theorems for classical groups over finite fields ⋮ Remarks on the theta correspondence over finite fields ⋮ Depth preservation in local theta correspondence

This page was built for publication: Local theta correspondence of depth zero representations and theta dichotomy.