Symplectic supercuspidal representations of \(\text{GL}(2n)\) over \(p\)-adic fields

DOI10.2140/pjm.2010.245.273zbMath1213.22008OpenAlexW2052901751MaRDI QIDQ968598

Chufeng Nien, Yujun Qin, Di-Hua Jiang

Publication date: 5 May 2010

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://pjm.math.berkeley.edu/pjm/2010/245-2/p05.xhtml

zbMATH Keywords

Shalika modelssymplectic representationslocal descentlocal Langlands transfersupercuspidal representations of \(p\)-adic groups

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (11)

Correspondence of models under local theta lifting ⋮ Generalized Shalika models of \(p\)-adic SO\(_{4n}\) and functoriality ⋮ Local descent to quasi-split even general spin groups ⋮ Model transition under local theta correspondence ⋮ Local root numbers and spectrum of the local descents for orthogonal groups: \(p\)-adic case ⋮ On local descent to metaplectic groups and local theta correspondence ⋮ Symplectic supercuspidal representations and related problems ⋮ Uniqueness of Bessel models: the archimedean case ⋮ The Conjectural Relation Between Generalized Shalika Models on $$\mathop{\mathrm{SO}}\nolimits _{4n}(F)$$ and Symplectic Linear Models on $$\mathop{\mathrm{Sp}}\nolimits _{4n}(F)$$ : A Toy Example ⋮ Linear periods and distinguished local parameters ⋮ Formal degrees and the local theta correspondence: The quaternionic case

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