On the ideal generated by all squarefree monomials of a given degree
Commutative Algebra
2020-06-11 v2 Representation Theory
Abstract
An explicit construction is given of a minimal free resolution of the ideal generated by all squarefree monomials of a given degree. The construction relies upon and exhibits the natural action of the symmetric group on the syzygy modules. The resolution is obtained over an arbitrary coefficient ring; in particular, it is characteristic free. Two applications are given: an equivariant resolution of De Concini-Procesi rings indexed by hook partitions, and a resolution of FI-modules.
Cite
@article{arxiv.1609.06396,
title = {On the ideal generated by all squarefree monomials of a given degree},
author = {Federico Galetto},
journal= {arXiv preprint arXiv:1609.06396},
year = {2020}
}
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