Simple strongly connected quivers and their eigenvectors

• Date: 2012
• Main Authors: Dudchenko, I. V., Kirichenko, V. V., Plakhotnyk, M. V., Дудченко, І. В., Кириченко, В. В., Плахотник, М. В.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2577
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...