On indices and eigenvectors of quivers
Algebra and discrete mathematics, Tome 27 (2019) no. 1, pp. 12-19.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study formulas for eigenvectors of strongly connected simply laced quivers in terms of eigenvalues. The relation of these formulas to the isomorphism of quivers is investigated.
Keywords: strongly connected quiver, eigenvector.
@article{ADM_2019_27_1_a2,
     author = {Iryna Dudchenko and Makar Plakhotnyk},
     title = {On indices and eigenvectors of quivers},
     journal = {Algebra and discrete mathematics},
     pages = {12--19},
     publisher = {mathdoc},
     volume = {27},
     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a2/}
}
TY  - JOUR
AU  - Iryna Dudchenko
AU  - Makar Plakhotnyk
TI  - On indices and eigenvectors of quivers
JO  - Algebra and discrete mathematics
PY  - 2019
SP  - 12
EP  - 19
VL  - 27
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a2/
LA  - en
ID  - ADM_2019_27_1_a2
ER  - 
%0 Journal Article
%A Iryna Dudchenko
%A Makar Plakhotnyk
%T On indices and eigenvectors of quivers
%J Algebra and discrete mathematics
%D 2019
%P 12-19
%V 27
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a2/
%G en
%F ADM_2019_27_1_a2
Iryna Dudchenko; Makar Plakhotnyk. On indices and eigenvectors of quivers. Algebra and discrete mathematics, Tome 27 (2019) no. 1, pp. 12-19. http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a2/

[1] M. A. Dokuchaev, N. M. Gubareni, V. M. Futorny, M. A. Khibina, V. V. Kirichenko, “Dynkin Diagrams and Spectra of Graphs”, São Paulo Journal of Mathematical Sciences, 7:1 (2013), 83–104 | DOI | MR | Zbl

[2] I. Dudchenko, V. Kirichenko and M. Plakhotnyk, “Simply laced quivers and their properties”, Ukrainian Mathematical Journal, 64 (2012), 291–306 | DOI | MR | Zbl

[3] P. Gabriel, “Unzerlegbare Darstellungen 1”, Man. Math., 6 (1972), 71–103 | DOI | MR | Zbl

[4] M. Hazewinkel, N. Gubareni and V. V. Kirichenko, Algebras, Rings and Modules, v. I, Mathematics and Its Applications, 575, Kluwer Academic Publishers, 2004, 380 pp. | MR | Zbl

[5] M. Hazewinkel, N. Gubareni and V. V. Kirichenko, Algebras, Rings and Modules, v. II, Mathematics and Its Applications, 586, Springer, 2007, 400 pp. | DOI | MR | Zbl