Modular Representations of Finite Groups of Lie Type

DOI10.1112/plms/s3-32.2.347zbMath0338.20013OpenAlexW2081004508MaRDI QIDQ4106737

George Lusztig, Roger W. Carter

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1112/plms/s3-32.2.347

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Related Items (28)

Parabolic induction in characteristic \(p\) ⋮ The decomposition of permutation module for infinite Chevalley groups ⋮ Representations of finite groups ⋮ The representation theory of the Temperley-Lieb algebras ⋮ Loewy series for principal series representations of finite Chevalley groups ⋮ Inverse Satake isomorphism and change of weight ⋮ An application of TQFT to modular representation theory ⋮ Letter place algebras and a characteristic-free approach to the representation theory of the general linear and symmetric groups. I ⋮ The loewy structure of the projective indecomposable modules for sl(3,3) And its automorphism group in characteristic 3 ⋮ Combinatorics of centers of 0-Hecke algebras in type \(A\) ⋮ On the principal representations of reductive groups in defining characteristic ⋮ Duality and character values of finite groups of Lie type ⋮ Iwahori-Hecke model for supersingular representations of \(\mathrm{GL}_2(\mathbb{Q}_p)\) ⋮ On the crystalline cohomology of Deligne-Lusztig varieties ⋮ The Steinberg representation ⋮ Integral structures in the 𝑝-adic holomorphic discrete series ⋮ Extensions of simple modules for finite Chevalley groups ⋮ Lattices in the cohomology of \(U(3)\) arithmetic manifolds ⋮ Permutation modules and 1-cohomology ⋮ From pro-\(p\) Iwahori-Hecke modules to \((\phi ,\Gamma)\)-modules. I. ⋮ Principal series representations of finite Chevalley groups ⋮ Universal modules in natural characteristic for finite reductive groups. ⋮ The Green ring and modular representations of finite groups of Lie type ⋮ A generalization of Pillen’s theorem for principal series modules ⋮ Hecke modules and supersingular representations of U(2,1) ⋮ Reducing mod 𝑝 complex representations of finite reductive groups ⋮ A generalization of Pillen's theorem for principal series modules. II. ⋮ An inverse Satake isomorphism in characteristic \(p\)

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