Hopf actions on filtered regular algebras

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• 作者：K. Chan ; C. Walton ; Y.H. Wang ; J.J. Zhang
• 关键词：16E65 ; 16T05 ; 16T15 ; 16W70
• 刊名：Journal of Algebra
• 出版年：1 January, 2014
• 年：2014
• 卷：397
• 期：Complete
• 页码：68-90
• 全文大小：359 K

文摘

We study finite dimensional Hopf algebra actions on so-called filtered Artin-Schelter regular algebras of dimension n, particularly on those of dimension 2. The first Weyl algebra is an example of such an algebra with , for instance. Results on the Gorenstein condition and on the global dimension of the corresponding fixed subrings are also provided.