A tubular algebra with three types of separating tubular families

2005 ◽  
pp. 215-228
Author(s):  
Dirk Kussin
Keyword(s):  
Tubular Algebra

Forbidden Subcategories of Non-Polynomial Growth Tame Simply Connected Algebras

1996 ◽  
Vol 48 (5) ◽  
pp. 1018-1043 ◽  
Author(s):  
J. A. De La Peña ◽  
A. Skowroński
Keyword(s):  
Polynomial Growth ◽  
Hochschild Cohomology ◽  
Indecomposable Module ◽  
Closed Field ◽  
Algebraically Closed Field ◽  
Finite Dimensional ◽  
Tubular Algebra ◽  
Strongly Connected ◽  
Simply Connected ◽  
Composition Factors

AbstractLet 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 H1(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.

Sign in / Sign up

Export Citation Format

Share Document