Standard multipartitions and a combinatorial affine Schur-Weyl duality

DOI10.1016/j.jpaa.2022.107102OpenAlexW2800632256MaRDI QIDQ2153805

Jinkui Wan, Jie Du

Publication date: 13 July 2022

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.4494

zbMATH Keywords

quantum loop algebraaffine Hecke algebraAriki-Koike algebraDrinfeld polynomialaffine Schur-Weyl dualitystandard multipartition

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Symmetric groups (20B30) Representations of infinite symmetric groups (20C32) Schur and (q)-Schur algebras (20G43)

Related Items (1)

Slim cyclotomic \(q\)-Schur algebras

Cites Work

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• Small representations for affine \(q\)-Schur algebras
• Affine quantum Schur algebras and affine Hecke algebras
• The degenerate analogue of Ariki's categorification theorem
• Cluster algebras and quantum affine algebras
• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras.
• On modules over the Hecke algebra of a p-adic group
• Representations of GL(n) over a p-adic field with an Iwahori-fixed vector
• Induction and restriction of Kazhdan-Lusztig cells
• Cyclotomic \(q\)-Schur algebras
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• Ariki-Koike algebras with semisimple bottoms
• Parameterizing Hecke algebra modules: Bernstein-Zelevinsky multisegments, Kleshchev multipartitions, and crystal graphs.
• The Hopf algebra \(\text{Rep\,} U_q \widehat{\mathfrak g\mathfrak l}_\infty\)
• Cellular algebras
• The number of simple modules of the Hecke algebras of type \(G(r,1,n)\)
• On the decomposition matrices of the quantized Schur algebra
• Quantum affine algebras and affine Hecke algebras
• Identification of simple representations for affine \(q\)-Schur algebras
• SPECHT MODULES FOR ARIKI-KOIKE ALGEBRAS
• A Double Hall Algebra Approach to Affine Quantum Schur--Weyl Theory
• Representations of Hecke Algebras of General Linear Groups
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
• Blocks and Idempotents of Hecke Algebras of General Linear Groups
• On the classification of simple modules for cyclotomic Hecke algebras of type \(G(m,1,n)\) and Kleshchev multipartitions

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