Examples of Non-Semisimple Hopf Algebra Actions on Artin-Schelter Regular Algebras

被引：0
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作者：
Hui-Xiang Chen
Ding-Guo Wang
James J. Zhang
机构：
[1] Yangzhou University,School of Mathematical Sciences
[2] Qufu Normal University,School of Mathematical Sciences
[3] University of Washington,Department of Mathematics
来源：
Algebras and Representation Theory | 2023年 / 26卷
关键词：
Hopf algebra action; Artin-Schelter regular algebra; Indecomposable module; Green ring; 16T05; 16W22;
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摘要：
Let 𝕜\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\Bbbk $\end{document} be a base field of characteristic p > 0 and let U be the restricted enveloping algebra of a 2-dimensional nonabelian restricted Lie algebra. We classify all inner-faithful U-actions on noetherian Koszul Artin-Schelter regular algebras of global dimension up to three.
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页码：717 / 752
页数：35
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