Sökning: "preprojective"

Hittade 4 avhandlingar innehållade ordet preprojective.

  1. 1. Structure and representations of certain classes of infinite-dimensional algebras

    Författare :Brendan Frisk Dubsky; Volodymyr Mazorchuk; Martin Herschend; Rolf Farnsteiner; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; infinite-dimensional algebras; representation theory; category O; koszul; koszulity; injections; dihedral; preprojective; young lattice; Mathematics; Matematik;

    Sammanfattning : We study several infinite-dimensional algebras and their representation theory. In Paper I, we study the category O for the (centrally extended) Schrödinger Lie algebra, which is an analogue of the classical BGG category O. We decompose the category into a direct sum of "blocks", and describe Gabriel quivers of these blocks. LÄS MER

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

    Författare :Christoffer Söderberg; Martin Herschend; Grant Joseph; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    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. 3. 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

  5. 4. 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