The InvariantRing package for Macaulay2
Luigi Ferraro, Federico Galetto, Francesca Gandini, Hang Huang,, Matthew Mastroeni, Xianglong Ni
TL;DR
The InvariantRing package for Macaulay2 has been significantly updated to include new functionalities for computing invariants of various algebraic group actions, serving as a comprehensive tool for invariant theory computations.
Contribution
The paper introduces a major overhaul of the InvariantRing package, adding support for diagonal actions of tori, finite abelian groups, and arbitrary linearly reductive groups.
Findings
Expanded capabilities for finite group actions
Support for diagonal actions of tori and abelian groups
Unified resource for invariant theory in Macaulay2
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.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Commutative Algebra and Its Applications