| $H$-Module Algebra Structures On $M_{2}({\mathbb F})$ |
| Received:October 14, 2014 Revised:March 20, 2015 |
| Key Words:
$H$-module algebras square root of matrix Sweedler algebra
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11271043; 11471186). |
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| Abstract: |
| Let ${\mathbb F}$ be an algebraically closed field of characteristic $0$, $H$ be an eight-dimensional non-semisimple Hopf algebra which is neither pointed nor unimodular and $M_{2}({\mathbb F})$ be the full matrix algebra of $2\times 2$ over ${\mathbb F}$. In this paper, we discuss and classify all $H$-module algebra structures on $M_{2}({\mathbb F})$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2015.06.005 |
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