Search for dissertations about: "grassmannian"

Showing result 1 - 5 of 6 swedish dissertations containing the word grassmannian.

  2. 1. Rees algebras of modules and Quot schemes of points

    Author : Gustav Sædén Ståhl; Roy Skjelnes; David Rydh; Runar Ile; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Abstract : This thesis consists of three articles. The first two concern a generalization of Rees algebras of ideals to modules. Paper A shows that the definition of the Rees algebra due to Eisenbud, Huneke and Ulrich has an equivalent, intrinsic, definition in terms of divided powers. READ MORE

  4. 2. Multi-oriented Symplectic Geometry and the Extension of Path Intersection Indices

    Author : Serge de Gosson de Varennes; Andrei Khrennikov; Ernst Binz; Växjö universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Symplectic geometry; algebraic topology; mathematical physics; Maslov index; Conley-Zehnder index; Leray index path intersection indices.; MATHEMATICS; MATEMATIK;

    Abstract : Symplectic geometry can be traced back to Lagrange and his work on celestial mechanics and has since then been a very active field in mathematics, partly because of the applications it offers but also because of the beauty of the objects it deals with.I this thesis we begin by the simplest fact of symplectic geometry. READ MORE

  5. 3. Geometry and foundations of quantum mechanics

    Author : Kate Blanchfield; Ingemar Bengtsson; Anthony Sudberry; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; teoretisk fysik; Theoretical Physics;

    Abstract : This thesis explores three notions in the foundations of quantum mechanics: mutually unbiased bases (MUBs), symmetric informationally-complete positive operator valued measures (SICs) and contextuality. MUBs and SICs are sets of vectors corresponding to special measurements in quantum mechanics, but there is no proof of their existence in all dimensions. READ MORE

  6. 4. 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

  7. 5. Constructions in higher-dimensional Auslander-Reiten theory

    Author : Andrea Pasquali; Martin Herschend; Petter Andreas Bergh; Uppsala universitet; []
    Keywords : 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;

    Abstract : 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. READ MORE