Billiards and tilting characters for \(\mathrm{SL}_3\)

DOI10.3842/SIGMA.2018.015zbMath1447.20007arXiv1703.05898OpenAlexW2603353782MaRDI QIDQ1743725

Geordie Williamson, George Lusztig

Publication date: 16 April 2018

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.05898

zbMATH Keywords

tilting modulescharactersbilliardssymmetric groupdecomposition numbersHecke algebraanti-spherical module\(p\)-canonical basis

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hecke algebras and their representations (20C08) Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Dynamical systems with singularities (billiards, etc.) (37C83)

Related Items (13)

Tensor ideals, Deligne categories and invariant theory ⋮ The anti-spherical category ⋮ A non-perverse Soergel bimodule in type \(A\) ⋮ Localized calculus for the Hecke category ⋮ Calculating the \(p\)-canonical basis of Hecke algebras ⋮ Tensor product Markov chains ⋮ On the affine Hecke category for \(\mathrm{SL}_3\) ⋮ IntroSurvey of representation theory ⋮ The ABC of \(p\)-cells ⋮ Koszul duality for Kac–Moody groups and characters of tilting modules ⋮ On BGG resolutions of unitary modules for quiver Hecke and Cherednik algebras ⋮ \(p\)-Jones-Wenzl idempotents ⋮ The modular Weyl-Kac character formula

Cites Work

• Unnamed Item
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• Quantum Satake in type \(A\). I
• Canonical left cells in affine Weyl groups
• On tilting modules for algebraic groups
• On the character of certain tilting modules
• A quantum version of the algebra of distributions of \(\mathrm{SL}_2\)
• The anti-spherical category
• Algebraic representations and constructible sheaves
• The p-canonical basis for Hecke algebras
• Filtrations and tilting modules
• Tilting modules and the p-canonical basis
• The Decomposition Matrices of GL _n (q ) for n ⩽ 10
• Koszul duality for Kac–Moody groups and characters of tilting modules
• On the character of certain irreducible modular representations
• The affine Grassmannian and the Springer resolution in positive characteristic
• On the character of some modular indecomposable tilting modules for \(\text{SL}_3\)

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