Geometric conditions for \(\square\)-irreducibility of certain representations of the general linear group over a non-Archimedean local field
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Publication:1989699
DOI10.1016/j.aim.2018.09.027zbMath1400.20047arXiv1605.08545OpenAlexW2607329194MaRDI QIDQ1989699
Alberto Mínguez, Erez M. Lapid
Publication date: 29 October 2018
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.08545
Representations of Lie and linear algebraic groups over local fields (22E50) Linear algebraic groups over local fields and their integers (20G25)
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Cites Work
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- Smooth representations of \(\text{GL}_m(D)\). V: Endo-classes
- Kac-Moody groups and cluster algebras
- Jacquet modules of ladder representations
- Intertwining operators and Hecke algebras with parameters from a reductive \(p\)-adic group: The case of the classical groups.
- On parabolic induction on inner forms of the general linear group over a non-archimedean local field
- Criterion for smoothness of Schubert varieties in Sl(n)/B
- Governing singularities of Schubert varieties
- Cluster algebras and quantum affine algebras
- Multisegment duality, canonical bases and total positivity
- Kazhdan-Lusztig conjecture and holonomic systems
- Representations of Coxeter groups and Hecke algebras
- Colorings and orientations of graphs
- Duality between \(\mathfrak{sl}_n(\mathbb C)\) and the degenerate affine Hecke algebra
- On even and odd latin squares
- On the number of even and odd Latin squares of order \(p+1\)
- The Cayley determinant of the determinant tensor and the Alon-Tarsi conjecture
- Proof of the Alon-Tarsi conjecture for \(n=2^rp\)
- Generic singularities and quasi-resolutions of Schubert varieties for the lineary group.
- The singular locus of a Schubert variety
- Singular loci of Schubert varieties
- Square-root cancellation for the signs of Latin squares
- Imaginary vectors in the dual canonical basis of \(U_q({\mathfrak n})\)
- Representations of quivers of type \(A\) and the multisegment duality
- Quantum affine algebras and affine Hecke algebras
- Deligne-Lusztig duality and wonderful compactification
- Rigid modules over preprojective algebras.
- A proof of the Howe duality conjecture
- Ladder representations of GL ( n , ℚ p ) $$\mathrm{GL}(n, \mathbb{Q}_{p})$$
- Monoidal Categorifications of Cluster Algebras of Type A and D
- Smooth Representations of GLm(D) VI: Semisimple Types
- Beyond Kirillov-Reshetikhin modules
- Monoidal categorification of cluster algebras
- The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
- Affine Hecke Algebras and Their Graded Version
- Singular locus of a Schubert variety
- Représentations lisses de GL(m, D) II : β-extensions
- Représentations lisses de GLm(D)GLm(D), III : types simples
- REPRÉSENTATIONS LISSES DE $\mathrm{GL}_{m}(\mathrm{D})$ IV : REPRÉSENTATIONS SUPERCUSPIDALES
- Correspondance de Howe explicite : paires duales de type II
- Two remarks on graded nilpotent classes
- Local poincaré duality and non-singularity of schubert varieties
- 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
- Maximal singular loci of Schubert varieties in $SL(n)/B$
- LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
- Cohomology of Smooth Schubert Varieties in Partial Flag Manifolds
- Représentations lisses de $\textup {GL} (m,D)$ I : caractères simples
- Simplicity of heads and socles of tensor products
- Tensor Categories
- On a determinantal formula of Tadić
- Jacquet modules of 𝑝-adic general linear groups
- Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A
