Adjustment matrices for the principal block of the Iwahori-Hecke algebra \(\mathcal{H}_{5 e} \)

DOI10.1016/j.jalgebra.2020.07.015zbMath1477.20026arXiv1909.07114OpenAlexW3047121535MaRDI QIDQ2197778

Aaron Yi Rui Low

Publication date: 1 September 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.07114

zbMATH Keywords

symmetric groupsdecomposition numbersIwahori-Hecke algebrasadjustment matrixJames's conjecture

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30)

Related Items (1)

James's conjecture holds for blocks of \(q\)-Schur algebras of weights 3 and 4

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• The Schaper formula and the Lascoux, Leclerc and Thibon algorithm.
• Hecke algebras at roots of unity and crystal bases of quantum affine algebras
• James's conjecture holds for weight four blocks of Iwahori-Hecke algebras.
• Beyond Rouquier partitions
• Bijections of p -Regular Partitions and p -Modular Irreducibles of the Symmetric Groups
• A q -Analogue of the Jantzen-Schaper Theorem
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Some decomposition numbers for Hecke algebras of general linear groups
• Schubert calculus and torsion explosion
• An Extension of James's Conjecture
• Kleshchev's decomposition numbers and branching coefficients in the Fock space
• Decomposition numbers for weight three blocks of symmetric groups and Iwahori--Hecke algebras

This page was built for publication: Adjustment matrices for the principal block of the Iwahori-Hecke algebra \(\mathcal{H}_{5 e} \)