THE LOEWY STRUCTURE OF -VERMA MODULES OF SINGULAR HIGHEST WEIGHTS

DOI10.1017/S1474748015000274zbMath1373.20059arXiv1501.07029MaRDI QIDQ5369315

Masaharu Kaneda, Noriyuki Abe

Publication date: 16 October 2017

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07029

zbMATH Keywords

socle seriesaffine Weyl groupLoewy layersinduced modulesmaximal torusLusztig's conjecturerigid modulessingular blockradical series\(p\)-regular characterkernel of Frobenius endomorphism

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Modular representations and characters (20C20)

Related Items (1)

Explicit calculations in an infinitesimal singular block of SL_n

Cites Work

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• Hecke algebras and Jantzen's generic decomposition patterns
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• Lusztig's conjecture as a moment graph problem
• Singular Localization and Intertwining Functors for Reductive Lie Algebras in Prime Characteristic
• The socle filtration of a Verma module
• Loewy Series of Modules for the First Frobenius Kernel in a Reductive Algebraic Group
• Koszul Duality Patterns in Representation Theory
• An upper bound on the exceptional characteristics for Lusztig's character formula
• Product formula forp-adic epsilon factors

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