The InvariantRing package for Macaulay2
Commutative Algebra
2024-03-27 v2
Abstract
We describe a significant update to the existing InvariantRing package for Macaulay2. In addition to expanding and improving the methods of the existing package for actions of finite groups, the updated package adds functionality for computing invariants of diagonal actions of tori and finite abelian groups as well as invariants of arbitrary linearly reductive group actions. The implementation of the package has been completely overhauled with the aim of serving as a unified resource for invariant theory computations in Macaulay2.
Keywords
Cite
@article{arxiv.2010.15331,
title = {The InvariantRing package for Macaulay2},
author = {Luigi Ferraro and Federico Galetto and Francesca Gandini and Hang Huang and Matthew Mastroeni and Xianglong Ni},
journal= {arXiv preprint arXiv:2010.15331},
year = {2024}
}
Comments
8 pages, submitted to Journal of Software for Algebra and Geometry. v2: Added a link to the GitHub repository for the package