Sökning: "composition algebra"

Visar resultat 1 - 5 av 12 avhandlingar innehållade orden composition algebra.

  1. 1. A Categorical Study of Composition Algebras via Group Actions and Triality

    Detta är en avhandling från Uppsala : Department of Mathematics

    Författare :Seidon Alsaody; Uppsala universitet.; [2015]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Composition algebra; division algebra; absolute valued algebra; triality; groupoid; group action; algebraic group; Lie algebra of derivations; classification.; Mathematics; Matematik;

    Sammanfattning : A composition algebra is a non-zero algebra endowed with a strictly non-degenerate, multiplicative quadratic form. Finite-dimensional composition algebras exist only in dimension 1, 2, 4 and 8 and are in general not associative or unital. Over the real numbers, such algebras are division algebras if and only if they are absolute valued, i.e. LÄS MER

  2. 2. Decision Algebra A General Approach to Learning and Using Classifiers

    Detta är en avhandling från Växjö : Linnaeus University Press

    Författare :Antonina Danylenko; Linnéuniversitetet.; [2015]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; classification; decision model; classifier; Decision Algebra; decision function; Computer Science; Datavetenskap;

    Sammanfattning : Processing decision information is a vital part of Computer Science fields in which pattern recognition problems arise. Decision information can be generalized as alternative decisions (or classes), attributes and attribute values, which are the basis for classification. LÄS MER

  3. 3. Problems in the Classification Theory of Non-Associative Simple Algebras

    Detta är en avhandling från Uppsala : Universitetsbiblioteket

    Författare :Erik Darpö; Uppsala universitet.; [2009]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Division algebra; flexible algebra; normal form; composition algebra; absolute valued algebra; vector product; rotation.; MATHEMATICS; MATEMATIK;

    Sammanfattning : In spite of its 150 years history, the problem of classifying all finite-dimensional division algebras over a field k is still unsolved whenever k is not algebraically closed. The present thesis concerns some different aspects of this problem, and the related problems of classifying all composition and absolute valued algebras. LÄS MER

  4. 4. Towards Plane Hurwitz Numbers

    Detta är en avhandling från Stockholm : Stockholm University, Department of mathematics

    Författare :Jared Ongaro; Stockholms universitet.; [2014]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebraic curves; Hurwitz spaces; matematik; Mathematics;

    Sammanfattning : The main objects of this thesis are branched coverings obtained as projection from a point in P^2. Our general goal is to understand how a given meromorphic function f: X -> P^1 can be induced from a composition X --> C -> P^1, where C is a plane curve in  P^2 which is birationally equivalent to the smooth curve X. LÄS MER

  5. 5. Kantor Triple Systems

    Detta är en avhandling från Center for Mathematical Sciences, Mathematics, Lund University, Box 118, SE-221 00 LUND, SWEDEN

    Författare :Daniel Mondoc; [2003]
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; gruppteori; fältteori; algebra; algebraic geometry; group theory; Talteori; field theory; Number Theory; Composition algebras; Jordan algebras; Kantor triple systems; Lie algebras; Jordan triple systems; algebraisk geometri;

    Sammanfattning : Popular Abstract in Swedish Avhandlingens huvudsyfte är att studera reella exceptionella Kantortrippelsystem. I första artikeln visar vi först kända resultat i både de reella och komplexa klassiska fallen av K-enkla Kantortrippelsystem. I de reella klassiska fallen ger vår lösning enklare formler. LÄS MER