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

DOI10.1090/ert/548zbMath1454.22006arXiv1905.13063OpenAlexW3080276604MaRDI QIDQ5124559

Publication date: 29 September 2020

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

Full work available at URL: https://arxiv.org/abs/1905.13063

zbMATH Keywords

degenerate principal series classical $p$-adic groups generalized principal series

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)

Discrete series of odd general spin groups

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Strongly positive representations of metaplectic groups
On reducibility of parabolic induction
Ramified degenerate principal series representations for $Sp(n)$
Parametrization of the image of normalized intertwining operators.
Residual spectrum of split classical groups; contribution from Borel subgroups.
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
Globalization of supercuspidal representations over function fields and applications
On Jacquet modules of representations of segment type
On Langlands quotients of the generalized principal series isomorphic to their Aubert duals
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 $\widetilde {Sp(n)}$
Local L-Functions for Split Spinor Groups
On discrete series subrepresentations of the generalized principal series
Erratum à “Dualité dans le groupe de Grothendieck de la catégorie des représentations lisses de longueur finie d’un groupe réductif p-adique”
Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
The degenerate principal series for 𝑆𝑝(2𝑛)
Construction of discrete series for classical 𝑝-adic groups
On supports of induced representations for symplectic and odd-orthogonal groups
Duality for classical 𝑝-adic groups: The half-integral case
Degenerate principal series for even-orthogonal groups
Dualite Dans Le Groupe De Grothendieck De La Categorie Des Representations Lisses De Longueur Finie D'un Groupe Reductif p-Adique
Aubert duals of discrete series: the first inductive step
Aubert duals of strongly positive discrete series and a class of unitarizable representations
Degenerate principal series for symplectic and odd-orthogonal groups

This page was built for publication: Degenerate principal series for classical and odd GSpin groups in the general case