Composition series of a class of induced representations built on discrete series

DOI10.1007/s00229-021-01348-wOpenAlexW3215453741MaRDI QIDQ2686587

Igor Ciganović

Publication date: 28 February 2023

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.03818

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Induced representations for locally compact groups (22D30) Other representations of locally compact groups (22D12)

Cites Work

• Unnamed Item
• Sur la classification des séries discrètes des groupes classiques \(p\)-adiques: paramètres de Langlands et exhaustivité. (On the classification of discrete series of classical \(p\)-adic groups: Langlands parameters and exhaustivity.)
• Composition series of a class of induced representations, a case of one half cuspidal reducibility
• Composition series of generalized principal series; the case of strongly positive discrete series
• Structure arising from induction and Jacquet modules of representations of classical \(p\)-adic groups
• On tempered and square integrable representations of classical \(p\)-adic groups
• First occurrence indices of tempered representations of metaplectic groups
• Jacquet modules of strongly positive representations of the metaplectic group $\widetilde {Sp(n)}$
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Induced representations of reductive ${\germ p}$-adic groups. I
• Construction of discrete series for classical 𝑝-adic groups
• Reducibility of Generalized Principal Series

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