Filtrations and tilting modules

DOI10.1016/S0012-9593(97)89924-7zbMath0885.17008MaRDI QIDQ4342597

Henning Haahr Andersen

Publication date: 24 July 1997

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1997_4_30_3_353_0

zbMATH Keywords

tilting modulesquantum groupsJantzen filtration

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (15)

Unnamed Item ⋮ On functors associated to a simple root ⋮ Coxeter combinatorics for sum formulas in the representation theory of algebraic groups ⋮ On the Ext groups between Weyl modules for \(\text{GL}_n\). ⋮ Algebraic representations and constructible sheaves ⋮ Cellular structures using \(U_q\)-tilting modules ⋮ Sum formulas for reductive algebraic groups. ⋮ Billiards and tilting characters for \(\mathrm{SL}_3\) ⋮ On support varieties and the Humphreys conjecture in type \(A\) ⋮ Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln ⋮ On the character of some modular indecomposable tilting modules for \(\text{SL}_3\) ⋮ Iwahori-Hecke algebras of type \(A\) at roots of unity ⋮ A sum formula for tilting filtrations ⋮ QUANTUM GROUPS AT ROOTS OF UNITY AND MODULARITY ⋮ Smith-Treumann theory and the linkage principle

Cites Work

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• Quantum groups at roots of 1
• Representations of Coxeter groups and Hecke algebras
• Tensor products of quantized tilting modules
• On tilting modules for algebraic groups
• On the dimension of some modular irreducible representations of the symmetric group
• Representations of quantum algebras
• Tensor Structures Arising from Affine Lie Algebras. IV
• Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln

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