Sökning: "2-representation theory"

Hittade 2 avhandlingar innehållade orden 2-representation theory.

  1. 1. Constructions in higher-dimensional Auslander-Reiten theory

    Författare :Andrea Pasquali; Martin Herschend; Petter Andreas Bergh; Uppsala universitet; []
    Nyckelord :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;

    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

  3. 2. Classification of simple transitive 2-representations

    Författare :Jakob Zimmermann; Volodymyr Mazorchuk; Joseph Chuang; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; 2-representation theory; 2-categories; Soergel bimodules; projective functors; cell 2-representations; simple transitive 2-representations;

    Sammanfattning : The representation theory of finitary 2-categories is a generalization of the classical representation theory of finite dimensional associative algebras. A key notion in classical representation theory is the notion of simple modules as those are in some sense the building blocks of all modules. LÄS MER