Search for dissertations about: "bialgebra"

Showing result 1 - 5 of 7 swedish dissertations containing the word bialgebra.

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

    Author : Martin Herschend; Ernst Dieterich; Alex Martsinkovsky; Karin Erdmann; Uppsala universitet; []
    Keywords : 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;

    Abstract : 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. READ MORE

  4. 2. Classification of classical twists of the standard Lie bialgebra structure on a loop algebra

    Author : Stepan Maximov; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Lie bialgebra; classical twist; loop algebra; Yang-Baxter equation; Manin triple; geometric r-matrix.; Belavin-Drinfeld quadruple;

    Abstract : This licentiate thesis is based on the work "Classification of classical twists of the standard Lie bialgebra structure on a loop algebra" by R. Abedin and the author of this thesis. The standard Lie bialgebra structure on an affine Kac-Moody algebra induces a Lie bialgebra structure on the underlying loop algebra and its parabolic subalgebras. READ MORE

  5. 3. Lie bialgebra structures and their quantization

    Author : Iulia Pop; Göteborgs universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES;

    Abstract : .... READ MORE

  6. 4. Infinite-dimensional Lie bialgebras and Manin pairs

    Author : Stepan Maximov; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Manin triple; classical twist; r-matrix; Lie bialgebra; loop algebra; Yang-Baxter equation; Manin pair;

    Abstract : This PhD thesis is devoted to the theory of infinite-dimensional Lie bialgebra structures as well as their close relatives such as r-matrices and Manin pairs. The thesis is based on three papers. Paper I. READ MORE

  7. 5. Configuration spaces, props and wheel-free deformation quantization

    Author : Theo Backman; Sergei Merkulov; Sergei Shadrin; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; operad; properad; prop; deformation quantization; configuration space; Lie bialgebra; Poisson manifold; Mathematics; matematik;

    Abstract : The main theme of this thesis is higher algebraic structures that come from operads and props.The first chapter is an introduction to the mathematical framework needed for the content of this thesis. The chapter does not contain any new results. READ MORE