|
|||||
 |
|
|
|
|
|
|
The InvariantRing
package for Macaulay2
Luigi Ferraro, Federico Galetto, Francesca Gandini, Hang Huang, Matthew Mastroeni and Xianglong Ni |
|
Vol. 14 (2024), 5–11
|
 |
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
Macaulay2, invariants, group actions
|
Mathematical Subject Classification
Primary: 13-04, 13A50, 13P25
|
Supplementary material |
Milestones
Received: 16 December 2020
Revised: 26 July 2022
Accepted: 14 September 2023
Published: 26 March 2024
|
Authors |
| Luigi Ferraro | |
| School of Mathematical and
Statistical Sciences University of Texas Rio Grande Valley Edinburg, TX United States |
|
| Federico Galetto | |
| Department of Mathematics and
Statistics Cleveland State University Cleveland, OH United States |
|
| Francesca Gandini | |
| Department of Mathematics,
Statistics, and Computer Science St. Olaf College Northfield, MN United States |
|
| Hang Huang | |
| Department of Mathematics Texas A&M University College Station, TX United States |
|
| Matthew Mastroeni | |
| Iowa State University Ames, IA United States |
|
| Xianglong Ni | |
| Department of Mathematics University of California Berkeley Berkeley, CA United States |
|
| © 2024 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). |
