Sheaves on affine Schubert varieties, modular representations, and Lusztig’s conjecture

DOI10.1090/S0894-0347-2010-00679-0zbMath1270.20053arXiv0711.0871OpenAlexW2964148875WikidataQ123309934 ScholiaQ123309934MaRDI QIDQ3074555

Peter Fiebig

Publication date: 9 February 2011

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0871

zbMATH Keywords

intersection cohomology sheavesSchubert varietiespositive characteristicirreducible charactershighest weight modulesreductive algebraic groupsroot systemssimple Lie algebrasKazhdan-Lusztig polynomialsLusztig conjecturequantized enveloping algebrasCoxeter numbersaffine Kac-Moody algebrasaffine flag manifoldsmoment graphscharacter formulae

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representation theory for linear algebraic groups (20G05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Modular representations and characters (20C20) Grassmannians, Schubert varieties, flag manifolds (14M15) Sheaf cohomology in algebraic topology (55N30) Cohomology theory for linear algebraic groups (20G10)

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