Sökning: "Martin Herschend"

Visar resultat 1 - 5 av 8 avhandlingar innehållade orden Martin Herschend.

  1. 1. On the Clebsch-Gordan Problem for Quiver Representations

    Författare :Martin Herschend; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : .... LÄS MER

  3. 2. On the Clebsch-Gordan problem for quiver representations

    Författare :Martin Herschend; Ernst Dieterich; Alex Martsinkovsky; Karin Erdmann; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Algebra and geometry; quiver; quiver representation; tensor product; Clebsch-Gordan problem; representation ring; bialgebra; Galois covering; Algebra och geometri;

    Sammanfattning : On the category of representations of a given quiver we define a tensor product point-wise and arrow-wise. The corresponding Clebsch-Gordan problem of how the tensor product of indecomposable representations decomposes into a direct sum of indecomposable representations is the topic of this thesis. 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. 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

  7. 5. Tensor products and higher Auslander-Reiten theory

    Författare :Andrea Pasquali; Martin Herschend; Peter Jørgensen; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : .... LÄS MER