The multiplicity one case of Lusztig's conjecture.

DOI10.1215/00127094-2010-031zbMath1207.20040arXivmath/0607501OpenAlexW3106503227WikidataQ122929272 ScholiaQ122929272MaRDI QIDQ984456

Peter Fiebig

Publication date: 19 July 2010

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607501

zbMATH Keywords

reductive algebraic groupsKazhdan-Lusztig polynomialsLusztig conjecturemoment graphsbaby Verma modulesirreducible rational characters

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60)

Related Items

Schubert calculus and torsion explosion ⋮ Algebraic representations and constructible sheaves ⋮ Sheaves on the alcoves and modular representations. II ⋮ Kazhdan-Lusztig combinatorics in the moment graph setting ⋮ Parity sheaves, moment graphs and the \(p\)-smooth locus of Schubert varieties ⋮ Presentation of right-angled Soergel categories by generators and relations. ⋮ Sheaves on affine Schubert varieties, modular representations, and Lusztig’s conjecture ⋮ On the stable moment graph of an affine Kac–Moody algebra

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