Search for dissertations about: "Nakayama algebra"

Found 5 swedish dissertations containing the words Nakayama 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. Cells and 2-representations of bimodules over Nakayama algebras

    Author : Helena Jonsson; Volodymyr Mazorchuk; Pedro Vaz; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : .... READ MORE

  5. 3. Preprojective Algebras of d-Representation Finite Species with Relations

    Author : Christoffer Söderberg; Martin Herschend; Grant Joseph; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : In this article we study the properties of preprojective algebras of representation finite species. To understand the structure of a preprojective algebra, one often studies its Nakayama automorphism. A complete description of the Nakayama automorphism is given by Brenner, Butler and King when the algebra is given by a path algebra. READ MORE

  6. 4. Structure and representations of bimodule categories

    Author : Helena Jonsson; Volodymyr Mazorchuk; Pedro Vaz; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This thesis consists of four research papers in the field of representation theory. Three of the papers are concerned with bicategories of finite-dimensional bimodules over a family of radical square zero Nakayama algebras. In the first, we study the tensor combinatorics of these bimodules. READ MORE

  7. 5. 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