论文标题
Macaulay2的InfarianTring包
The InvariantRing package for Macaulay2
论文作者
论文摘要
我们描述了Macaulay2现有的InfarianTring软件包的重大更新。除了扩展和改进有限组的作用的现有软件包的方法外,更新的软件包还增加了计算Tori和有限的Abelian组的对角线动作的功能,以及任意线性还原的组动作的不变性。该软件包的实施已被完全大修,目的是作为Macaulay2中不变理论计算的统一资源。
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.