Séminaire Lotharingien de Combinatoire, B26h (1991).
[Formerly: Publ. I.R.M.A. Strasbourg, 1992, 476/S-26, p. 49-53.]

Henning Krause

Endomorphisms of Words in a Quiver

Abstract. 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.