Calculating the \(p\)-canonical basis of Hecke algebras

DOI10.1007/s00031-023-09799-zarXiv2204.04924OpenAlexW4367558105MaRDI QIDQ6063032

Joel Gibson, Lars Thorge Jensen, Geordie Williamson

Publication date: 2 December 2023

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.04924

zbMATH Keywords

Hecke algebracanonical basisCoxeter systemHecke category

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Computational methods for problems pertaining to group theory (20-08)

Cites Work

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• The Hodge theory of Soergel bimodules.
• Representations of Coxeter groups and Hecke algebras
• The Magma algebra system. I: The user language
• Billiards and tilting characters for \(\mathrm{SL}_3\)
• The ABC of \(p\)-cells
• Smith-Treumann theory and the linkage principle
• The anti-spherical category
• The p-canonical basis for Hecke algebras
• Tilting modules and the p-canonical basis
• Introduction to Soergel Bimodules
• Schubert calculus and torsion explosion
• Soergel calculus
• Localized calculus for the Hecke category
• Path isomorphisms between quiver Hecke and diagrammatic Bott-Samelson endomorphism algebras

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