All solutions of the Yang-Baxter-like matrix equation for nilpotent matrices of index two (Q781736)
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scientific article; zbMATH DE number 7222437
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | All solutions of the Yang-Baxter-like matrix equation for nilpotent matrices of index two |
scientific article; zbMATH DE number 7222437 |
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All solutions of the Yang-Baxter-like matrix equation for nilpotent matrices of index two (English)
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18 July 2020
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Summary: Let \(A\) be a nilpotent matrix of index two, and consider the Yang-Baxter-like matrix equation \(AXA=XAX\). We first obtain a system of matrix equations of smaller sizes to find all the solutions of the original matrix equation. When \(A\) is a nilpotent matrix with rank 1 and rank 2, we get all solutions of the Yang-Baxter-like matrix equation.
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