Characters of finite reductive groups and \(D\)-modules.

zbMath1147.20312MaRDI QIDQ2569663

Michel Gros

Publication date: 20 October 2005

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_2001__106__1_0

zbMATH Keywords

cohomology groupsconnected reductive algebraic groupsBorel subgroupsnilpotent orbitsperverse sheavesreductive group schemesSpringer correspondenceSpringer representationsholonomic \(\mathcal D\)-modulesbase changesactions of Weyl groupsirreducible ordinary representations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Cohomology theory for linear algebraic groups (20G10)

Cites Work

• The invariant holonomic system on a semisimple Lie algebra
• Unipotent representations of complex semisimple groups
• A unipotent support for irreducible representations
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• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• \(L\)-functions associated to overconvergent \(F\)-isocrystals
• \(D\)-modules and representation theory of Lie groups
• Finiteness and cohomological purity in rigid cohomology (with an appendix by Aise Johan de Jong)
• Characteristic varieties of character sheaves
• Nilpotent connections and the monodromy theorem: Applications of a result of Turrittin
• Étale Slices for Algebraic Transformation Groups in Characteristic p
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• Dualité de Poincaré et formule de Künneth en cohomologie rigide
• Un théorème de comparaison entre les faisceaux d’opérateurs différentiels de Berthelot et de Mebkhout-Narváez-Macarro
• ${\scr D}$-modules arithmétiques. I. Opérateurs différentiels de niveau fini
• Weak Formal Schemes
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