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Symmetry 2019, 11(2), 178; https://doi.org/10.3390/sym11020178

The kS3-Module Algebra Structures on M3(k)

1
School of Literature and Science; Suqian College; Suqian 223800, China
2
School of Mathematical Science, Yangzhou University, Yangzhou 225002, China
*
Author to whom correspondence should be addressed.
Received: 2 January 2019 / Revised: 27 January 2019 / Accepted: 1 February 2019 / Published: 2 February 2019
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Abstract

Let S 3 be the symmetric group on three elements. Let k be a field and M 3 ( k ) be the full matrix algebra of 3 × 3 -matrices over k. In this paper, the k S 3 -module algebra structures on M 3 ( k ) are described, and classified up to isomorphism. View Full-Text
Keywords: matrix algebra; module algebra; weak similarity; Hopf algebra; group algebra matrix algebra; module algebra; weak similarity; Hopf algebra; group algebra
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Zhao, S.; Wang, Y.; Chen, X. The kS3-Module Algebra Structures on M3(k). Symmetry 2019, 11, 178.

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