The \(kS_3\)-module algebra structures on \(M_3(k)\) (Q2310984)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(kS_3\)-module algebra structures on \(M_3(k)\) |
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The \(kS_3\)-module algebra structures on \(M_3(k)\) (English)
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10 July 2019
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Summary: 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 \(3 \times 3\)-matrices over \(k\). In this paper, the \(k S_3\)-module algebra structures on \(M_3(k)\) are described, and classified up to isomorphism.
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matrix algebra
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module algebra
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weak similarity
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Hopf algebra
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group algebra
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