Quivers and matrix equations (Q1906764)
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scientific article; zbMATH DE number 841731
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quivers and matrix equations |
scientific article; zbMATH DE number 841731 |
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Quivers and matrix equations (English)
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6 February 1996
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In this clearly written paper, the author shows how to reduce each of the matrix equations \(AXB = C\) and \(AX - YB = C\) to a canonical form in which the solutions are evident. He goes on to explain the genesis of these canonical forms in the representation theory of quivers corresponding to the Dynkin diagrams of types \(A_3\) and \(A_4\).
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matrix equations
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canonical form
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quivers
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Dynkin diagrams
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