• Corpus ID: 235727702

# Permutation module decomposition of the second cohomology of a regular semisimple Hessenberg variety

@inproceedings{Cho2021PermutationMD,
title={Permutation module decomposition of the second cohomology of a regular semisimple Hessenberg variety},
author={Soojin Cho and Jaehyun Hong and Eunjeong Lee},
year={2021}
}
• Published 2 July 2021
• Mathematics
. Regular semisimple Hessenberg varieties admit actions of associated Weyl groups on their cohomology spaces of each degree. In this paper, we consider the module structure of the cohomology spaces of regular semisimple Hessenberg varieties of type A . We deﬁne a subset of the Bia lynicki-Birula basis of the cohomology space which becomes a module generator set of the cohomology module of each degree. We use these generators to construct permutation submodules of the degree two cohomology…
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