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Integral $Ext^2$ between hook Weyl modules

Representation Theory 2021-06-17 v1

Abstract

This paper concerns representations of the integral general linear group. The extension groups Ext2Ext^2 between any pair of hook Weyl modules are determined via a detailed study of cyclic generators and relations associated to certain extensions. As a corollary, the modular extension groups Ext1Ext^1 between such modules are determined.

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Cite

@article{arxiv.2006.03640,
  title  = {Integral $Ext^2$ between hook Weyl modules},
  author = {Dimitra-Dionysia Stergiopoulou},
  journal= {arXiv preprint arXiv:2006.03640},
  year   = {2021}
}

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22 pages