Discrete series of odd general spin groups

DOI10.1007/s00605-023-01901-7arXiv1706.01111OpenAlexW4387360787MaRDI QIDQ6191605

Yeansu Kim, Ivan Matić

Publication date: 9 February 2024

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01111

zbMATH Keywords

discrete seriesnon-Archimedean local fieldJacquet modulesodd \textit{GSpin} groups

Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (1)

On reducibility of representations induced from the essentially Speh representations and discrete series

Cites Work

• Unnamed Item
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• On invariants of discrete series representations of classical \(p\)-adic groups
• Strongly positive representations of metaplectic groups
• Theta lifts of strongly positive discrete series: the case of \((\widetilde{\mathrm{Sp}}(n),\mathrm{O}(V))\)
• On parabolic induction on inner forms of the general linear group over a non-archimedean local field
• \(R\)-groups, elliptic representations, and parameters for GSpin groups
• On reducibility of parabolic induction
• 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.)
• On the cuspidal support of discrete series for \(p\)-adic quasisplit \(\mathrm{Sp}(N)\) and \(\mathrm{SO}(N)\)
• Composition series of generalized principal series; the case of strongly positive discrete series
• Globalization of supercuspidal representations over function fields and applications
• Representations induced from the Zelevinsky segment and discrete series in the half-integral case
• Reducibility of representations induced from the Zelevinsky segment and discrete series
• On Jacquet modules of representations of segment type
• On tempered and square integrable representations of classical \(p\)-adic groups
• 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)
• Jacquet modules of strongly positive representations of the metaplectic group $\widetilde {Sp(n)}$
• On the generic local Langlands correspondence for 𝐺𝑆𝑝𝑖𝑛 groups
• COMPOSITION FACTORS OF A CLASS OF INDUCED REPRESENTATIONS OF CLASSICAL -ADIC GROUPS
• Local L-Functions for Split Spinor Groups
• Le spectre résiduel de ${\rm GL}(n)$
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• On Certain L-Functions
• Square integrable representations of classical p-adic groups corresponding to segments
• Construction of discrete series for classical 𝑝-adic groups
• On supports of induced representations for symplectic and odd-orthogonal groups
• LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
• Howe correspondence for discrete series representations; the case of (Sp(n);O(V))
• Degenerate principal series for classical and odd GSpin groups in the general case
• Paquets stables des s\'eries discr\`etes accessibles par endoscopie tordue; leur param\`etre de Langlands
• Reducibility of Generalized Principal Series
• Langlands-Shahidi $L$-functions for $GSpin$ groups and the generic Arthur packet conjecture

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