Search for dissertations about: "P Stanley"

Found 3 swedish dissertations containing the words P Stanley.

  2. 1. Synthesis of indole and oxindole derivates incorporating pyrrolidino, pyrrolo or imidazolo moieties

    Author : Stanley Rehn; Karolinska Institutet; Karolinska Institutet; []
    Keywords : Isatin; three-component reaction; a-amino acid; azomethine ylide; pyrrolidino-3-spiro-3?-oxindole derivatives; 3-methyleneoxindole derivatives; pyrroloquinolone; TosMIC; ß-carboline; tosylimine; pyrrole; keto-enol tautomerism; indolopyran-2-one; imidazole; benzylimine; tetrahydroindole;

    Abstract : The focus of this thesis is on the synthesis of oxindole- and indole-derivatives incorporating pyrrolidins, pyrroles or imidazoles moieties. Pyrrolidino-2-spiro-3'-oxindole derivatives have been prepared in high yielding three-component reactions between isatin, alpha-amino acid derivatives, and suitable dipolarophiles. READ MORE

  4. 2. Enumerative combinatorics related to partition shapes

    Author : Jonas Sjöstrand; Anders Björner; Christian Krattenthaler; KTH; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; partition shape; sign-imbalance; Robinson-Schensted correspondence; chess tableau; restricted word; cylindrical lattice walk; Poincaré polynomial; Bruhat interval; rook polynomial; pattern avoidance; partitionsform; teckenobalans; Robinson-Schensted-korrespondens; schacktablå; begränsade ord; cylindriska latticestigar; poincarépolynom; bruhatintervall; tornpolynom; mönsterundvikande permutation; MATHEMATICS; MATEMATIK;

    Abstract : This thesis deals with enumerative combinatorics applied to three different objects related to partition shapes, namely tableaux, restricted words, and Bruhat intervals. The main scientific contributions are the following. READ MORE

  5. 3. Around minimal Hilbert series problems for graded algebras

    Author : Lisa Nicklasson; Samuel Lundqvist; Christian Gottlieb; Uwe Nagel; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Graded algebras; Hilbert series; Lefschetz properties; Exterior algebra; Linear resolution; Mathematics; matematik;

    Abstract : The Hilbert series of a graded algebra is an invariant that encodes the dimension of the algebra's graded compontents. It can be seen as a tool for measuring the size of a graded algebra. This gives rise to the idea of algebras with a "minimal Hilbert series", among the algebras within a certain family. READ MORE