Simple strongly connected quivers and their eigenvectors

  • I. V. Dudchenko Слов’ян. держ. пед. ун-т
  • V. V. Kirichenko
  • M. V. Plakhotnyk Київ. нац. ун-т iм. Т. Шевченка

Abstract

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.
Published
25.03.2012
How to Cite
DudchenkoI. V., KirichenkoV. V., and PlakhotnykM. V. “Simple Strongly Connected Quivers and Their Eigenvectors”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, no. 3, Mar. 2012, pp. 291-06, http://umj.imath.kiev.ua/index.php/umj/article/view/2577.
Section
Research articles