Search for dissertations about: "Algebra och geometri"
Showing result 1  5 of 128 swedish dissertations containing the words Algebra och geometri.

1. Waringtype problems for polynomials Algebra meets Geometry
University dissertation from Stockholm : Department of Mathematics, Stockholm UniversityAbstract : In the present thesis we analyze different types of additive decompositions of homogeneous polynomials. These problems are usually called Waringtype problems and their story go back to the mid19th century and, recently, they received the attention of a large community of mathematicians and engineers due to several applications. READ MORE

2. On the ClebschGordan problem for quiver representations
University dissertation from Uppsala : Matematiska institutionenAbstract : On the category of representations of a given quiver we define a tensor product pointwise and arrowwise. The corresponding ClebschGordan 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

3. Real and complex MongeAmpère equations, statistical mechanics and canonical metrics
University dissertation from Göteborg : Chalmers tekniska högskolaAbstract : Recent decades has seen a strong trend in complex geometry to study canonical metrics and the way they relate to geometric analysis, algebraic geometry and probability theory. This thesis consists of four papers each contributing to this field. The first paper sets up a probabilistic framework for real MongeAmpère equations on tori. READ MORE

4. Admissible transformations and the group classification of Schrödinger equations
University dissertation from Linköping : Linköping University Electronic PressAbstract : We study admissible transformations and solve group classification problems for various classes of linear and nonlinear Schrödinger equations with an arbitrary number n of space variables.The aim of the thesis is twofold. READ MORE

5. Ncomplexes and Categorification
University dissertation from Uppsala : Matematiska institutionenAbstract : This thesis consists of three papers about Ncomplexes and their uses in categorification. Ncomplexes are generalizations of chain complexes having a differential d satisfying dN = 0 rather than d2 = 0. Categorification is the process of finding a higher category analog of a given mathematical structure. READ MORE