The combinatorial category of Andersen, Jantzen and Soergel and filtered moment graph sheaves

DOI10.1007/s12188-016-0133-6zbMath1367.20006OpenAlexW2528148944MaRDI QIDQ347134

Peter Fiebig, Martina Lanini

Publication date: 30 November 2016

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2108/199886

zbMATH Keywords

Andersen-Jantzen-Soergel categoryLusztig's conjecturemodular representation theory

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Grassmannians, Schubert varieties, flag manifolds (14M15) Modular Lie (super)algebras (17B50)

Related Items (2)

The combinatorial category of Andersen, Jantzen and Soergel and filtered moment graph sheaves ⋮ Oriented cohomology sheaves on double moment graphs

Cites Work

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• The combinatorial category of Andersen, Jantzen and Soergel and filtered moment graph sheaves
• Hecke algebras and Jantzen's generic decomposition patterns
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• Sheaves on the alcoves and modular representations. I
• Sheaves on moment graphs and a localization of Verma flags
• Lusztig's conjecture as a moment graph problem
• Kazhdan-Lusztig-Polynome und eine Kombinatorik für Kipp-Moduln
• Schubert calculus and torsion explosion
• From moment graphs to intersection cohomology

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