Setting the scene for Betti characters
Commutative Algebra
2023-08-30 v1 Representation Theory
Abstract
Finite group actions on free resolutions and modules arise naturally in many interesting examples. Understanding these actions amounts to describing the terms of a free resolution or the graded components of a module as group representations which, in the non modular case, are completely determined by their characters. With this goal in mind, we introduce a Macaulay2 package for computing characters of finite groups on free resolutions and graded components of finitely generated graded modules over polynomial rings.
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Cite
@article{arxiv.2106.16062,
title = {Setting the scene for Betti characters},
author = {Federico Galetto},
journal= {arXiv preprint arXiv:2106.16062},
year = {2023}
}
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7 pages