Degree bounds for Hopf actions on Artin–Schelter regular algebras
Degree bounds for Hopf actions on Artin–Schelter regular algebras
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DOI：
10.1016/j.aim.2022.108197
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发表时间：
2020-08
影响因子：
1.7
通讯作者：
E. Kirkman;R. Won;James J. Zhang
中科院分区：
文献类型：
--
作者：
E. Kirkman;R. Won;James J. Zhang
研究了Artin-Schelter正则代数上的半简单Hopf代数作用，证明了不变子带上的最小生成子的阶和不变子带上的模的合子的阶的上界。这些结果类似于Noether， Fogarty, Fleischmann, Derksen, Sidman， Chardin和Symonds证明的交换多项式环上群作用的结果。
We study semisimple Hopf algebra actions on Artin–Schelter regular algebras and prove several upper bounds on the degrees of the minimal generators of the invariant subring, and on the degrees of syzygies of modules over the invariant subring. These results are analogues of results for group actions on commutative polynomial rings proved by Noether, Fogarty, Fleischmann, Derksen, Sidman, Chardin, and Symonds.