Counterexamples to the tilting and \((p,r)\)-filtration conjectures

DOI10.1515/crelle-2019-0036zbMath1477.20080arXiv1901.06687OpenAlexW2989627036WikidataQ123308827 ScholiaQ123308827MaRDI QIDQ2209453

Christopher P. Bendel, Daniel K. Nakano, Paul Sobaje, Cornelius Pillen

Publication date: 2 November 2020

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06687

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Lie algebras of linear algebraic groups (17B45)

Related Items (7)

BGG categories in prime characteristics ⋮ On Donkin’s tilting module conjecture I: lowering the prime ⋮ Tilting modules and cellular categories ⋮ The Steinberg quotient of a tilting character ⋮ On character formulas for simple and tilting modules ⋮ \(p\)-filtrations of dual Weyl modules ⋮ A simple character formula

Uses Software

• GAP
• WeylModules

Cites Work

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• On good \((p,r)\)-filtrations for rational \(G\)-modules.
• Injective modules for restricted enveloping algebras
• On tensoring with the Steinberg representation
• \(p\)-filtrations of dual Weyl modules
• Darstellungen halbeinfacher Gruppen und ihrer Frobenius-Kerne.
• Darstellungen halbeinfacher Gruppen und kontravariante Formen.
• Tilting modules and the p-canonical basis
• On (𝑝,𝑟)-filtrations and tilting modules
• ON REPRESENTATIONS OF ALGEBRAIC GROUPS IN CHARACTERISTIC TWO
• Koszul duality for Kac–Moody groups and characters of tilting modules
• On p -filtrations of Weyl modules
• \(p\)-filtrations and the Steinberg module

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