The InvariantRing package for Macaulay2

Authors

Luigi Ferraro, The University of Texas Rio Grande Valley
Federico Galetto
Francesca Gandini
Hang Huang
Matthew Mastroeni
Xianglong Ni

Document Type

Article

Publication Date

3-26-2024

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.

Comments

© 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers).

Recommended Citation

Ferraro, Luigi, Federico Galetto, Francesca Gandini, Hang Huang, Matthew Mastroeni, and Xianglong Ni. "The InvariantRing package for Macaulay2." Journal of Software for Algebra and Geometry 14, no. 1 (2024): 5-11. https://doi.org/10.2140/jsag.2024.14.5

Publication Title

Journal of Software for Algebra and Geometry

DOI

10.2140/jsag.2024.14.5