Séminaire Lotharingien de Combinatoire, B26h (1991).
[Formerly: Publ. I.R.M.A. Strasbourg, 1992, 476/S-26, p.
Endomorphisms of Words in a Quiver
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.