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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Publication:2512966
DOI10.1007/s00209-014-1367-6zbMath1319.22013OpenAlexW205623087MaRDI QIDQ2512966
Publication date: 2 February 2015
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00209-014-1367-6
Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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Discrete series of odd general spin groups ⋮ On the generic local Langlands correspondence for 𝐺𝑆𝑝𝑖𝑛 groups ⋮ Degenerate principal series for classical and odd GSpin groups in the general case ⋮ On supports of induced representations for \(p\)-adic special orthogonal and general spin groups ⋮ Langlands-Shahidi $L$-functions for $GSpin$ groups and the generic Arthur packet conjecture
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Image of functoriality for general spin groups
- Arthur packets and the Ramanujan conjecture
- The unitary dual of \(p\)-adic \(\widetilde {\text{Sp}(2)}\)
- Strongly positive representations of metaplectic groups
- Theta lifts of strongly positive discrete series: the case of \((\widetilde{\mathrm{Sp}}(n),\mathrm{O}(V))\)
- Jacquet modules of induced representations for \(p\)-adic special orthogonal groups
- \(R\)-groups, elliptic representations, and parameters for GSpin groups
- On an algebraic approach to the Zelevinsky classification for classical \(p\)-adic groups
- Trace Paley-Wiener theorem for reductive p-adic groups
- On the Ramanujan conjecture and finiteness of poles for certain \(L\)-functions
- Local coefficients as Artin factors for real groups
- Special representations of reductive p-adic groups are not integrable
- 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.)
- A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
- Structure arising from induction and Jacquet modules of representations of classical \(p\)-adic groups
- Generic transfer for general spin groups
- Local L-Functions for Split Spinor Groups
- Square Integrable Representations and the Standard Module Conjecture for General Spin Groups
- On regular square integrable representations of p -adic groups
- Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
- On Certain L-Functions
- Induced representations of reductive ${\germ p}$-adic groups. I
- Construction of discrete series for classical 𝑝-adic groups
- Descent Construction for GSpin groups
- Jacquet modules of 𝑝-adic general linear groups
- On the non-unitary unramified dual for classical 𝑝–adic groups
- Langlands-Shahidi $L$-functions for $GSpin$ groups and the generic Arthur packet conjecture