Conjectures and results about parabolic induction of representations of \(\mathrm{GL}_n(F)\)

DOI10.1007/s00222-020-00982-7zbMath1471.22016arXiv1911.04281OpenAlexW3038206023WikidataQ123093962 ScholiaQ123093962MaRDI QIDQ2208430

Alberto Mínguez, Erez M. Lapid

Publication date: 2 November 2020

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.04281

Mathematics Subject Classification ID

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

Related Items (3)

Categorification and applications ⋮ Simple modules for quiver Hecke algebras and the Robinson–Schensted–Knuth correspondence ⋮ Cyclic representations of general linear \(p\)-adic groups

Cites Work

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• Kac-Moody groups and cluster algebras
• On parabolic induction on inner forms of the general linear group over a non-archimedean local field
• Cluster algebras and quantum affine algebras
• Duality between \(\mathfrak{sl}_n(\mathbb C)\) and the degenerate affine Hecke algebra
• Representation theory and sheaves on the Bruhat-Tits building
• Imaginary vectors in the dual canonical basis of \(U_q({\mathfrak n})\)
• Representations of quivers of type \(A\) and the multisegment duality
• Geometric conditions for \(\square\)-irreducibility of certain representations of the general linear group over a non-Archimedean local field
• Deligne-Lusztig duality and wonderful compactification
• Monoidal Categorifications of Cluster Algebras of Type A and D
• Monoidal categorification of cluster algebras
• Two remarks on graded nilpotent classes
• 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 ${\rm GL}(n)$
• Induced representations of reductive ${\germ p}$-adic groups. I
• LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
• Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
• Dualite Dans Le Groupe De Grothendieck De La Categorie Des Representations Lisses De Longueur Finie D'un Groupe Reductif p-Adique
• Simplicity of heads and socles of tensor products
• Local Rankin–Selberg integrals for Speh representations
• On a determinantal formula of Tadić
• Jacquet modules of 𝑝-adic general linear groups
• Semicanonical bases and preprojective algebras

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