Degenerate principal series for even-orthogonal groups

DOI10.1090/S1088-4165-03-00166-3zbMath1054.22015MaRDI QIDQ4826796

Chris Jantzen, Dubravka Ban

Publication date: 12 November 2004

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

reducibilityirreducible representationdegenerate principal seriesLanglands classificationJacquet module\(O(2n, F)\)\(SO(2n, F)\)

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

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Jacquet modules of induced representations for \(p\)-adic special orthogonal groups, Duality for classical 𝑝-adic groups: The half-integral case, The degenerate principal series representations of exceptional groups of type \(E_7\) over \(p\)-adic fields, A method of proving non-unitarity of representations of \(p\)-adic groups. I, The degenerate principal series representations of exceptional groups of type \(E_6\) over \(p\)-adic fields, Jacquet tensors, Degenerate principal series for classical and odd GSpin groups in the general case, On tempered and square integrable representations of classical \(p\)-adic groups, Formal degrees and local theta correspondence, Tempered representations for classical \(p\)-adic groups, The generic dual of \(p\)-adic split \(\mathrm{SO}_{2n}\) and local Langlands parameters, On endoscopy and the refined Gross–Prasad conjecture for (SO₅, SO₄), Jacquet modules and irreducibility of induced representations for classical \(p\)-adic groups, The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case, Degenerate principal series representations for quaternionic unitary groups, Local uniqueness of generalized Shalika models for \(\mathrm{SO}_{4n}\), On the lifting of elliptic cusp forms to cusp forms on quaternionic unitary groups, Intertwining operators and Hecke algebras with parameters from a reductive \(p\)-adic group: The case of the classical groups., Jacquet modules and the Langlands classification, On the regularized Siegel–Weil formula (the second term identity) and non-vanishing of theta lifts from orthogonal groups, Degenerate principal series and Langlands classification

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