Character sheaves. IV

DOI10.1016/0001-8708(86)90036-8zbMath0602.20035OpenAlexW4213384407MaRDI QIDQ1081700

George Lusztig

Publication date: 1986

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(86)90036-8

zbMATH Keywords

character sheavesconnected reductive algebraic groupmultiplicity formulairreducible perverse sheavesadmissible complexes

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) Group actions on varieties or schemes (quotients) (14L30) (p)-adic cohomology, crystalline cohomology (14F30) Cohomology theory for linear algebraic groups (20G10) Other algebraic groups (geometric aspects) (14L40)

Related Items (23)

Character sheaves. V ⋮ Unipotent representations as a categorical centre ⋮ Minimal idempotents on solvable groups ⋮ On the values of unipotent characters of finite Chevalley groups of type \(E_7\) in characteristic 2 ⋮ Correspondance de Langlands géométrique pour les corps de fonctions. (Geometric Langlands correspondence for function fields) ⋮ Formulae for two-variable Green functions ⋮ On the generalised Springer correspondence for groups of type 𝐸₈ ⋮ Computing Green functions in small characteristic ⋮ Green functions and Glauberman degree-divisibility ⋮ An informal introduction to categorical representation theory and the local geometric Langlands program ⋮ Character \(D\)-modules via Drinfeld center of Harish-Chandra bimodules. ⋮ The exotic Robinson-Schensted correspondence ⋮ Character bounds for regular semisimple elements and asymptotic results on Thompson's conjecture ⋮ Hamiltonian reduction and nearby cycles for mirabolic \(\mathcal{D}\)-modules ⋮ Characteristic cycles for the loop Grassmannian and nilpotent orbits. ⋮ On the unipotent support of character sheaves. ⋮ Crossed \(S\)-matrices and character sheaves on unipotent groups ⋮ Characterizations of character sheaves for complex reductive algebraic groups ⋮ Tamely ramified supercuspidal representations ⋮ On the values of unipotent characters in bad characteristic ⋮ On the values of unipotent characters of finite Chevalley groups of type \(E_6\) in characteristic 3 ⋮ Endomorphisms of Deligne-Lusztig Varieties ⋮ Decomposition matrices for low-rank unitary groups

Cites Work

• Unnamed Item
• Intersection cohomology complexes on a reductive group
• Character sheaves. I
• Character sheaves. II
• Representations of reductive groups over finite fields
• Coxeter orbits and eigenspaces of Frobenius
• Regular elements of semisimple algebraic groups
• Parabolic character sheaves, III

This page was built for publication: Character sheaves. IV