Discrete series of odd general spin groups (Q6191605)

scientific article; zbMATH DE number 7802693

Language	Label	Description	Also known as
English	Discrete series of odd general spin groups	scientific article; zbMATH DE number 7802693

Statements

instance of

scholarly article

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title

Discrete series of odd general spin groups (English)

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Monatshefte für Mathematik

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publication date

9 February 2024

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full work available at URL

https://arxiv.org/abs/1706.01111

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zbMATH Keywords

discrete series

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odd \textit{GSpin} groups

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non-Archimedean local field

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Jacquet modules

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MaRDI profile type

MaRDI publication profile

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cites work

Q2860722

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Local <i>L</i>-Functions for Split Spinor Groups

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$R$-groups, elliptic representations, and parameters for GSpin groups

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Globalization of supercuspidal representations over function fields and applications

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On the generic local Langlands correspondence for 𝐺𝑆𝑝𝑖𝑛 groups

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On supports of induced representations for symplectic and odd-orthogonal groups

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Strongly positive representations of $\mathrm{GSpin}_{2n+1}$ and the Jacquet module method (with an appendix ``Strongly positive representations in an exceptional rank-one reducibility case'' by Ivan Matić)

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Langlands-Shahidi $L$-functions for $GSpin$ groups and the generic Arthur packet conjecture

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Degenerate principal series for classical and odd GSpin groups in the general case

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On parabolic induction on inner forms of the general linear group over a non-archimedean local field

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Strongly positive representations of metaplectic groups

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Theta lifts of strongly positive discrete series: the case of $(\widetilde{\mathrm{Sp}}(n),\mathrm{O}(V))$

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Jacquet modules of strongly positive representations of the metaplectic group $\widetilde {Sp(n)}$

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Q2810924

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COMPOSITION FACTORS OF A CLASS OF INDUCED REPRESENTATIONS OF CLASSICAL -ADIC GROUPS

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Reducibility of representations induced from the Zelevinsky segment and discrete series

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Representations induced from the Zelevinsky segment and discrete series in the half-integral case

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On Jacquet modules of representations of segment type

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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.)

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Paquets stables des s\'eries discr\`etes accessibles par endoscopie tordue; leur param\`etre de Langlands

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Construction of discrete series for classical 𝑝-adic groups

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Le spectre résiduel de ${\rm GL}(n)$

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Composition series of generalized principal series; the case of strongly positive discrete series

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Howe correspondence for discrete series representations; the case of (Sp(n);O(V))

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Reducibility of Generalized Principal Series

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On Certain L-Functions

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Q4933105

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On reducibility of parabolic induction

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Square integrable representations of classical p-adic groups corresponding to segments

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On invariants of discrete series representations of classical $p$-adic groups

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On tempered and square integrable representations of classical $p$-adic groups

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LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA

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On the cuspidal support of discrete series for $p$-adic quasisplit $\mathrm{Sp}(N)$ and $\mathrm{SO}(N)$

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Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$

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Identifiers

arXiv ID

1706.01111

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DOI

10.1007/s00605-023-01901-7

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6191605