Sökning: "Nakayama algebra"
Hittade 5 avhandlingar innehållade orden Nakayama algebra.
1. Constructions of n-cluster tilting subcategories using representation-directed algebras
Sammanfattning : 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. LÄS MER
2. Cells and 2-representations of bimodules over Nakayama algebras
Sammanfattning : .... LÄS MER
3. Preprojective Algebras of d-Representation Finite Species with Relations
Sammanfattning : 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. LÄS MER
4. Structure and representations of bimodule categories
Sammanfattning : 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. LÄS MER
5. Constructions in higher-dimensional Auslander-Reiten theory
Sammanfattning : 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. LÄS MER