On extensions of hook Weyl modules

Mihalis Maliakas; Dimitra-Dionysia Stergiopoulou

doi:10.1016/j.jpaa.2021.106971

On extensions of hook Weyl modules

Representation Theory 2021-11-22 v2

Authors: Mihalis Maliakas , Dimitra-Dionysia Stergiopoulou

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Abstract

We determine the integral extension groups $Ext^1({\Delta}(h),{\Delta}(h(k)))$ and $Ext^k({\Delta}(h),{\Delta}(h(k)))$ , where ${\Delta}(h),{\Delta}(h(k))$ are the Weyl modules of the general linear group $GL_n$ corresponding to the hook partitions $h=(a,1^b)$ , $h(k)=(a+k,1^{b-k})$ .

Keywords

weyl groups and algebras

Cite

@article{arxiv.2005.00578,
  title  = {On extensions of hook Weyl modules},
  author = {Mihalis Maliakas and Dimitra-Dionysia Stergiopoulou},
  journal= {arXiv preprint arXiv:2005.00578},
  year   = {2021}
}

Comments

The paper has been updated with the reviewer's suggestions and comments. In particular the Remark after Theorem 4.1 has been corrected. To appear in Journal of Pure and Applied Algebra

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