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math.RT2011★ 3 cited
Structure Theorems for Basic Algebras
Carl Fredrik Berg
A basic finite dimensional algebra over an algebraically closed field is isomorphic to a quotient of a tensor algebra by an admissible ideal. The category of left modules over…
math.RT2010★ 6 cited
Representations of Thread Quivers
Carl Fredrik Berg, Adam-Christiaan van Roosmalen
We introduce thread quivers as an (infinite) generalization of quivers, and show that every k-linear (k algebraically closed) hereditary category with Serre duality and enough proj…
math.RT2008
The Quiver of Projectives in Hereditary Categories with Serre Duality
Carl Fredrik Berg, Adam-Christiaan van Roosmalen
Let k be an algebraically closed field and A a k-linear hereditary category satisfying Serre duality with no infinite radicals between the preprojective objects. If A is generated…