Sökning: "Ernst Dieterich"

Visar resultat 1 - 5 av 6 avhandlingar innehållade orden Ernst Dieterich.

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

    Författare :Seidon Alsaody; Ernst Dieterich; Ryszard Rubinsztein; Alberto Elduque; Uppsala universitet; []
    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

  3. 2. On Finite-Dimensional Absolute Valued Algebras

    Författare :Seidon Alsaody; Ernst Dieterich; Alberto Elduque; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Matematik;

    Sammanfattning : .... LÄS MER

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

    Författare :Erik Darpö; Ernst Dieterich; Karl-Heinz Fieseler; William Crawley-Boevey; Uppsala universitet; []
    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

  5. 4. On Effective Representations of Path Semigroups and Multi-Multisemigroups

    Författare :Love Forsberg; Volodymyr Mazorchuk; Ernst Dieterich; Victoria Gould; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : .... LÄS MER

  7. 5. Semigroups, multisemigroups and representations

    Författare :Love Forsberg; Volodymyr Mazorchuk; Ernst Dieterich; Stuart Margolis; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; representation theory; semigroups; multisemigroups; category theory; 2-categories;

    Sammanfattning : This thesis consists of four papers about the intersection between semigroup theory, category theory and representation theory. We say that a representation of a semigroup by a matrix semigroup is effective if it is injective and define the effective dimension of a semigroup S as the minimal n such that S has an effective representation by square matrices of size n. LÄS MER