Acyclicity of Schur complexes and torsion freeness of Schur modules

DOI10.1016/j.jalgebra.2019.05.035zbMath1427.13019arXiv1808.00602OpenAlexW2949934682WikidataQ127656236 ScholiaQ127656236MaRDI QIDQ2314988

Alexandre B. Tchernev, Muberra Allahverdi

Publication date: 31 July 2019

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

Full work available at URL: https://arxiv.org/abs/1808.00602

zbMATH Keywords

Schur modulestorsion freenessSchur complexes

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Homological dimension and commutative rings (13D05) Syzygies, resolutions, complexes and commutative rings (13D02) Torsion theory for commutative rings (13D30)

Cites Work

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• Schur functors and Schur complexes
• Some structure theorems for finite free resolutions
• Zur homologischen Dimension äußerer Potenzen von Moduln
• A note on the homology of the Schur complex
• Free resolutions for polynomial functors.
• On the homology of the Schur complex
• Torsion äußerer Potenzen von Moduln der homologischen Dimension 1
• What makes a complex exact?
• Torsion freeness of symmetric powers of ideals

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