Search for dissertations about: "Algebra och geometri"

Showing result 11 - 15 of 77 swedish dissertations containing the words Algebra och geometri.

2. 11. Hilbert schemes and Rees algebras

   Author : Gustav Sædén Ståhl; David Rydh; Karen Smith; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

   Abstract : The topic of this thesis is algebraic geometry, which is the mathematical subject that connects polynomial equations with geometric objects. Modern algebraic geometry has extended this framework by replacing polynomials with elements from a general commutative ring, and studies the geometry of abstract algebra. READ MORE

4. 12. Simple Modules over Lie Algebras

   Author : Jonathan Nilsson; Volodymyr Mazorchuk; Erhard Neher; Uppsala universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Lie algebra; Representation; Simple module; Non-weight module; Classification; Construction; Mathematics; Matematik;

   Abstract : Simple modules are the elemental components in representation theory for Lie algebras, and numerous mathematicians have worked on their construction and classification over the last century. This thesis consists of an introduction together with four research articles on the subject of simple Lie algebra modules. READ MORE

5. 13. Tangential Derivations, Hilbert Series and Modules over Lie Algebroids

   Author : Yohannes Tadesse; Rolf Källström; Michael Granger; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Tangential Derivations; Monomials; Multiplier Ideals; Lie Algebroids; Hilbert series; Mathematics; matematik;

   Abstract : Let A/k be a local commutative algebra over a field k of characteristic 0, and T_{A/k} be the module of k-linear derivations on A. We study, in two papers, the set of k-linear derivations on A which are tangential to an ideal I of A (preserves I), defining an A-submodule T_{A/k}(I) of T_{A/k}, which moreover is a k-Lie subalgebra. READ MORE

6. 14. 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

7. 15. Bounds on Hilbert Functions and Betti Numbers of Veronese Modules

   Author : Ornella Greco; Mats Boij; Maria Evelina Rossi; KTH; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Hilbert function; Betti numbers; Veronese modules; Pinched veronese; h-vectors; Mathematics; Matematik;

   Abstract : The thesis is a collection of four papers dealing with Hilbert functions and Betti numbers.In the first paper, we study the h-vectors of reduced zero-dimensional schemes in  . In particular we deal with the problem of findingthe possible h-vectors for the union of two sets of points of given h-vectors. READ MORE