Geodesic
Forbidden Subcategories of Non-Polynomial Growth Tame Simply Connected Algebras
Canadian journal of mathematics, Tome 48 (1996) no. 5, pp. 1018-1043

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Let k be an algebraically closed field and A = kQ/I be a basic finite dimensional k-algebra such that Q is a connected quiver without oriented cycles. Assume that A is strongly simply connected, that is, for every convex subcategory B of A the first Hochschild cohomology H 1(B, B) vanishes. The algebra A is sincere if it admits an indecomposable module having all simples as composition factors. We study the structure of strongly simply connected sincere algebras of tame representation type. We show that a sincere, tame, strongly connected algebra A which contains a convex subcategory which is either representation-infinite tilted of type Ẽp, p = 6,7,8, or a tubular algebra, is of polynomial growth.
DOI : 10.4153/CJM-1996-053-5
Mots-clés : 16G10, 16G60 
Peña, J. A. De La; Skowroński, A. Forbidden Subcategories of Non-Polynomial Growth Tame Simply Connected Algebras. Canadian journal of mathematics, Tome 48 (1996) no. 5, pp. 1018-1043. doi: 10.4153/CJM-1996-053-5
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