Substructures of algebras with weakly non-negative Tits form.

Título inglés	Substructures of algebras with weakly non-negative Tits form.
Título español	Subestructuras de álgebras con forma de Tits débilmente no negativa.
Autor/es	Peña, José Antonio de la ; Skowronski, Andrzej
Organización	Inst. Mat. Univ. Nac. Autón. México (UNAM), México DF, Méjico;Fac. Math. Comput. Sci. Nicolaus Copernicus Univ., Torun, Polonia
Revista	0213-8743
Publicación	2007, 22 (1): 67-81, 28 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	Let A = kQ/I be a finite dimensional basic algebra over an algebraically closed field k presented by its quiver Q with relations I. A fundamental problem in the representation theory of algebras is to decide whether or not A is of tame or wild type. In this paper we consider triangular algebras A whose quiver Q has no oriented paths. We say that A is essentially sincere if there is an indecomposable (finite dimensional) A-module whose support contains all extreme vertices of Q. We prove that if A is an essentially sincere strongly simply connected algebra with weakly non-negative Tits form and not accepting a convex subcategory which is either representation-infinite tilted algebra of type Êp or a tubular algebra, then A is of polynomial growth (hence of tame type).
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