Über das Dekompositionsverhalten gewisser modularer Darstellungen halbeinfacher Gruppen und ihrer Lie-Algebren

DOI10.1016/0021-8693(77)90252-6zbMath0386.20018OpenAlexW2142627627WikidataQ115367549 ScholiaQ115367549MaRDI QIDQ1249644

Publication date: 1977

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(77)90252-6

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Universal enveloping (super)algebras (17B35) Modular representations and characters (20C20) Linear algebraic groups over global fields and their integers (20G30)

Related Items (41)

Filtration patterns for representations of algebraic groups and their Frobenius kernels ⋮ Generic Cartan invariants for Chevalley groups ⋮ Cohomology of G/B in characteristic p ⋮ MODULAR DECOMPOSITION NUMBERS OF CYCLOTOMIC HECKE AND DIAGRAMMATIC CHEREDNIK ALGEBRAS: A PATH THEORETIC APPROACH ⋮ Representations of finite groups ⋮ Loewy series for principal series representations of finite Chevalley groups ⋮ On the structure of the higher cohomology modules of line bundles on G/B ⋮ On the intertwinings between higher cohomology modules of line bundles on G/B ⋮ Lower Bounds for the multiplicities of simple composition factors of the induced modules ⋮ The combinatorial category of Andersen, Jantzen and Soergel and filtered moment graph sheaves ⋮ Generic Cartan invariants for Frobenius kernels and Chevalley groups ⋮ Deligne-Lusztig characters and principal indecomposable modules ⋮ Hecke algebras and Jantzen's generic decomposition patterns ⋮ Projective characters for finite Chevalley groups ⋮ Semi-Infinite Highest Weight Categories ⋮ Zur Reduktion modulo p der Charaktere von Deligne und Lusztig ⋮ On stable decomposition patterns of weyl modules ⋮ Zur Reduktion modulo p unipotenter Charaktere endlicher Chevalley- Gruppen ⋮ On the first Cartan invariant of the groupSp(4,p n ) ⋮ Socle series of cohomology groups of line bundles on \(G/B\) ⋮ The composition of intertwining homomorphisms ⋮ The composition factors of \(F_ p[x_ 1, x_ 2, x_ 3\) as a \(GL(3, p)\)-module] ⋮ Tensoring generalized characters with the Steinberg character ⋮ On the structure of Weyl modules ⋮ On the Generic Structure of Cohomology Modules for Semisimple Algebraic Groups ⋮ On the structure of Weyl modules ⋮ Filtrations of principal indecomposable modules of Frobenius kernels of reductive groups ⋮ The weight in a Serre-type conjecture for tame \(n\)-dimensional Galois representations ⋮ On comparing the cohomology of algebraic groups, finite Chevalley groups and Frobenius kernels ⋮ Decomposition numbers for distant Weyl modules ⋮ Über Darstellungen höherer Frobenius-Kerne halbeinfacher algebraischer Gruppen ⋮ Blocks and indecomposable modules for semisimple algebraic groups ⋮ On injective modules for infinitesimal algebraic groups. II ⋮ Quantum analogues of a coherent family of modules at roots of unity: \(A_ 3\) ⋮ Cohomology of line bundles on G/B for the exceptional group \(G_ 2\) ⋮ \(p\)-filtrations of dual Weyl modules ⋮ Generic patterns for extensions of simple modules for finite Chevalley groups ⋮ Variations on Hulsurkar's matrix with applications to representations of algebraic Chevalley groups ⋮ Reduction modulo \(p\) of some Deligne-Lusztig characters ⋮ Irreducible characters for algebraic groups in characteristic two (iii) ⋮ Extensions for finite Chevalley groups II

Cites Work

This page was built for publication: Über das Dekompositionsverhalten gewisser modularer Darstellungen halbeinfacher Gruppen und ihrer Lie-Algebren