Cores of Ariki-Koike algebras

DOI10.25537/dm.2021v26.103-124zbMath1498.20014arXiv1912.08461MaRDI QIDQ2658464

Cédric Lecouvey, Nicolas Jacon

Publication date: 22 March 2021

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08461

zbMATH Keywords

Hecke algebrasblockdecomposition matrix

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Modular representations and characters (20C20) Combinatorial aspects of groups and algebras (05E16)

Related Items (3)

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Cites Work

• Representations of Hecke algebras at roots of unity.
• Weights of multipartitions and representations of Ariki-Koike algebras.
• A conjecture for \(q\)-decomposition matrices of cyclotomic \(v\)-Schur algebras.
• Weights of multipartitions and representations of Ariki-Koike algebras. II: Canonical bases
• Simultaneous core multipartitions
• Crystal isomorphisms and wall crossing maps for rational Cherednik algebras
• Hecke algebras at roots of unity and crystal bases of quantum affine algebras
• Blocks of cyclotomic Hecke algebras.
• Core blocks of Ariki-Koike algebras.
• Some combinatorial results involving Young diagrams
• Crystal isomorphisms for irreducible highest weight \(\mathcal{U}_{v}(\widehat{\mathfrak{sl}}_{e})\)-modules of higher level
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