On the Hecke-algebraic approach for general linear groups over a \(p\)-adic field
type: Item
instance of: scholarly article
title: On the Hecke-algebraic approach for general linear groups over a \(p\)-adic field
DOI: 10.1007/978-3-030-63849-8_5
author: Maxim Gurevich
publication date: 2022-10-31T00:00:00Z
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 13F60
Mathematics Subject Classification ID: 16T20
zbMATH DE Number: 7609747
MaRDI profile type: Publication
full work available at URL: 978-3-030-63849-8 5
OpenAlex ID: W4256181273
cites work: Duality between \(\mathfrak{sl}_n(\mathbb C)\) and the degenerate affine Hecke algebra
cites work: Q3933105
cites work: Hecke modules from metaplectic ice
cites work: On two geometric realizations of an affine Hecke algebra
cites work: Kazhdan-Lusztig conjecture and holonomic systems
cites work: The Admissible Dual of GL(N) via Compact Open Subgroups. (AM-129)
cites work: Smooth representations of reductive p -ADIC groups: structure theory via types
cites work: Q4700356
cites work: Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
cites work: Singular loci of Schubert varieties
cites work: Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
cites work: Induced representations of reductive ${\germ p}$-adic groups. I
cites work: Q4274266
cites work: Q3926802
cites work: Q2785535
cites work: Q4846800
cites work: Q4865647
cites work: Quantum affine algebras and affine Hecke algebras
cites work: Q4945721
cites work: Geometric Realization of Dynkin Quiver Type Quantum Affine Schur–Weyl Duality
cites work: Branching laws for classical groups: the non-tempered case
cites work: The affine \(q\)-Schur algebra
cites work: Q4314345
cites work: Quantum invariants for decomposition problems in type \(A\) rings of representations
cites work: On restriction of unitarizable representations of general linear groups and the non-generic local Gan-Gross-Prasad conjecture
cites work: Decomposition Rules for the Ring of Representations of Non-Archimedean GLn
cites work: AN IDENTITY OF PARABOLIC KAZHDAN–LUSZTIG POLYNOMIALS ARISING FROM SQUARE-IRREDUCIBLE MODULES
cites work: Intertwining operators and Hecke algebras with parameters from a reductive \(p\)-adic group: The case of the classical groups.
cites work: Nilpotent orbits of linear and cyclic quivers and Kazhdan-Lusztig polynomials of type A
cites work: Simple tensor products
cites work: Cyclicity and \(R\)-matrices
cites work: Cluster algebras and quantum affine algebras
cites work: Q3998721
cites work: On some Bruhat decomposition and the structure of the Hecke rings of \(p\)-adic Chevalley groups
cites work: A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
cites work: Q3910633
cites work: A diagrammatic approach to categorification of quantum groups I
cites work: On parabolic induction on inner forms of the general linear group over a non-archimedean local field
cites work: Geometric conditions for \(\square\)-irreducibility of certain representations of the general linear group over a non-Archimedean local field
cites work: Q4437892
cites work: Affine Hecke Algebras and Their Graded Version
cites work: Canonical Bases Arising from Quantized Enveloping Algebras
cites work: Introduction to quantum groups
cites work: Affine quiver Schur algebras and \(p\)-adic \(\mathrm{GL}_n\)
cites work: Q3402295
cites work: Q4797984
cites work: On modules over the Hecke algebra of a p-adic group
cites work: Représentations lisses de GLm(D)GLm(D), III : types simples
cites work: Smooth representations of \(\mathrm{GL}_m(D)\). VI: Semisimple types
cites work: Q4235494
cites work: Schur algebras of reductive \(p\)-adic groups. I
cites work: Canonical bases and KLR-algebras
cites work: Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
cites work: Q3913610
cites work: Two remarks on graded nilpotent classes
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description: scientific article; zbMATH DE number 7609747