Homological stability for Iwahori-Hecke algebras of type \(B_n\)

DOI10.1016/j.jpaa.2023.107560arXiv2211.06230OpenAlexW4388452091MaRDI QIDQ6146479

Isaac Moselle

Publication date: 5 February 2024

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

Full work available at URL: https://arxiv.org/abs/2211.06230

zbMATH Keywords

homological stabilityIwahori-Hecke algebrasinjective words

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Braid groups; Artin groups (20F36) Cohomology of groups (20J06) Homological methods in group theory (20J05)

Cites Work

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• Homological stability for families of Coxeter groups
• Homology stability for linear groups
• Stabilization for mapping class groups of 3-manifolds
• Decomposition theorem for homology groups of symmetric groups
• The homology of the Brauer algebras
• Representations of Coxeter groups and Hecke algebras
• Homological stability for automorphism groups of free groups
• The complex of words and Nakaoka stability
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1

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