A Tensor Product Factorization for Certain Tilting Modules

DOI10.1080/00927872.2011.559393zbMath1234.20053arXiv0912.3512OpenAlexW2068309120MaRDI QIDQ3090080

M. Fazeel Anwar

Publication date: 26 August 2011

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

Full work available at URL: https://arxiv.org/abs/0912.3512

zbMATH Keywords

tensor productssimple moduleslinear algebraic groupshighest weightsSteinberg modulessimply-connected algebraic groupsindecomposable tilting modulesminuscule modulesmodular miniscule weights

Mathematics Subject Classification ID

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

Related Items (2)

On the cohomology of certain homogeneous vector bundles of \(G/B\) in characteristic zero. ⋮ A tensor product of the Steinberg module and a certain simplekG(p^r)-module

Cites Work

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• The cohomology of line bundles on the three-dimensional flag variety
• Über Darstellungen höherer Frobenius-Kerne halbeinfacher algebraischer Gruppen
• On tilting modules for algebraic groups
• On a Question of Verma

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