Simple strongly connected quivers and their eigenvectors
We study the relationship between the isomorphism of quivers and properties of their spectra. It is proved that two simple strongly connected quivers with at most four vertices are isomorphic to one another if and only if their characteristic polynomials coincide and their left and right normalize...
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| Datum: | 2012 |
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| Hauptverfasser: | , , , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2012
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/2577 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | We study the relationship between the isomorphism of quivers and properties of their spectra.
It is proved that two simple strongly connected quivers with at most four vertices are isomorphic to one another
if and only if their characteristic polynomials coincide and their left and right normalized positive eigenvectors that
correspond to the index can be obtained from one another by the permutation of their coordinates.
An example showing that this statement is not true for quivers with five vertices is given. |
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