Twelve bridges from a reductive group to its Langlands dual

zbMath1169.20025arXiv0708.3430MaRDI QIDQ3614618

George Lusztig

Publication date: 9 March 2009

Full work available at URL: https://arxiv.org/abs/0708.3430

zbMATH Keywords

Hecke algebrasWeyl modulesintersection cohomologyreductive algebraic groupsroot systemsirreducible modulesWeil groupLanglands dualcells in Weyl groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Linear algebraic groups over global fields and their integers (20G30) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Representations of Lie and linear algebraic groups over local fields (22E50) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Linear algebraic groups over local fields and their integers (20G25) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (3)

Local Langlands correspondence for classical groups and affine Hecke algebras ⋮ Diagram automorphisms of quiver varieties ⋮ A first guide to the character theory of finite groups of Lie type

This page was built for publication: Twelve bridges from a reductive group to its Langlands dual