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...
Saved in:
| Date: | 2012 |
|---|---|
| Main Authors: | , , , , , |
| 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| Summary: | 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. |
|---|