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

DOI10.1090/S1088-4165-99-00071-0zbMath0918.22012MaRDI QIDQ4252965

Marko Tadić

Publication date: 23 June 1999

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

zbMATH Keywords

representation theorysquare integrable representationsclassical \(p\)-adic groups\(SO(2n+1,F)\)classical groups \(Sp(n,F)\)

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (10)

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.) ⋮ The Tadić philosophy: an overview of the guiding principles and underlying ideas in the work of Marko Tadić ⋮ Discrete series of odd general spin groups ⋮ Construction of discrete series for classical 𝑝-adic groups ⋮ On invariants of discrete series representations of classical \(p\)-adic groups ⋮ Unnamed Item ⋮ On tempered and square integrable representations of classical \(p\)-adic groups ⋮ Propagation de paires couvrantes dans les groupes symplectiques ⋮ On unitarizability and Arthur packets ⋮ On Jacquet modules of representations of segment type

Cites Work

• Proof of the Deligne-Langlands conjecture for Hecke algebras
• Twisted endoscopy and reducibility of induced representations for \(p\)- adic groups
• Representation theory and sheaves on the Bruhat-Tits building
• 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
• Hecke algebras and harmonic analysis on p -adic groups
• Sur les représentations non ramifiées des groupes réductifs $p$-adiques ; l'exemple de $GSp(4)$
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Discrete Series and Classification for p-Adic Groups I
• On the Decomposition of a Representation of SO_n When Restricted to SO_n-1
• Induced representations of GL (n, A) for p-adic division algebras A.
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