Search for dissertations about: "CLuster Algebra"

Found 3 swedish dissertations containing the words CLuster Algebra.

2. 1. Constructions of n-cluster tilting subcategories using representation-directed algebras

   Author : Laertis Vaso; Martin Herschend; Øyvind Solberg; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Representation theory; n-cluster tilting subcategory; Auslander–Reiten theory; representation-directed algebra; Nakayama algebra; global dimension; Mathematics; Matematik;

   Abstract : One of the most useful tools in representation theory of algebras is Auslander–Reiten theory. A higher dimensional analogue has recently appeared, based on the notion of n-cluster tilting subcategories. READ MORE

4. 2. Cluster Tilting for Representation-Directed Algebras

   Author : Laertis Vaso; Martin Herschend; Chrysostomos Psaroudakis; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Abstract : .... READ MORE

5. 3. Constructions in higher-dimensional Auslander-Reiten theory

   Author : Andrea Pasquali; Martin Herschend; Petter Andreas Bergh; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Representation theory; higher-dimensional Auslander-Reiten theory; Postnikov diagram; 2-representation finite algebra; self-injective algebra; quiver with potential; skew group algebra; Mathematics; Matematik;

   Abstract : This thesis consists of an introduction and five research articles about representation theory of algebras.Papers I and II focus on the tensor product of algebras from the point of view of higher-dimensional Auslander-Reiten theory. In Paper I we consider the tensor product Λ of two algebras which are n- respectively m-representation finite. READ MORE