scientific article; zbMATH DE number 845630
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Publication:4865649
zbMath0847.20039MaRDI QIDQ4865649
Publication date: 15 February 1996
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Coxeter groupsWeyl modulesVerma modulesroot systemsKazhdan-Lusztig polynomialssymmetric algebrasreflection groupscomposition factor multiplicitiesrepresentation categoriesprojective generatorsKazhdan-Lusztig conjecturesbimodule filtrations
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55)
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Kazhdan–Lusztig Conjectures and Shadows of Hodge Theory ⋮ Soergel Calculus and Schubert Calculus ⋮ K‐theory Soergel bimodules ⋮ The combinatorics of Coxeter categories ⋮ Extensions of ``thickened Verma modules of the Virasoro algebra. ⋮ Rigidity of Schubert closures and invariance of Kazhdan-Lusztig polynomials. ⋮ Dual braid monoids, Mikado braids and positivity in Hecke algebras ⋮ Presentation of right-angled Soergel categories by generators and relations. ⋮ A sum formula for tilting filtrations ⋮ Twisted filtrations of Soergel bimodules and linear Rouquier complexes
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