Endomorphisms of Words in a Quiver
Séminaire lotharingien de combinatoire, Tome 26 (1991)
Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website
We present a purely combinatorial concept which has been useful in the representation theory of finite dimensional algebras. First we extend the classical concept of a word in an alphabet (as discussed for instance in the book of M. Lothaire) to that of a word in a quiver. Then the endomorphisms of such a word are defined. They form a monoid which provides some information about recurrence and periodicity of the fixed word.
The paper has been finally published under the same title in J. Combin. Theory Ser. A 64 (1993), 216-245.
@article{SLC_1991_26_a7,
author = {Henning Krause},
title = {Endomorphisms of {Words} in a {Quiver}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {26},
year = {1991},
url = {http://geodesic.mathdoc.fr/item/SLC_1991_26_a7/}
}
Henning Krause. Endomorphisms of Words in a Quiver. Séminaire lotharingien de combinatoire, Tome 26 (1991). http://geodesic.mathdoc.fr/item/SLC_1991_26_a7/