Search for dissertations about: "Composition algebra"

Showing result 1 - 5 of 13 swedish dissertations containing the words Composition algebra.

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

    Author : Seidon Alsaody; Ernst Dieterich; Ryszard Rubinsztein; Alberto Elduque; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Composition algebra; division algebra; absolute valued algebra; triality; groupoid; group action; algebraic group; Lie algebra of derivations; classification.; Mathematics; Matematik;

    Abstract : 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. READ MORE

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

    Author : Antonina Danylenko; Welf Löwe; Jonas Lundberg; Uwe Assmann; Linnéuniversitetet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; classification; decision model; classifier; Decision Algebra; decision function; Computer Science; Datavetenskap;

    Abstract : 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. READ MORE

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

    Author : Erik Darpö; Ernst Dieterich; Karl-Heinz Fieseler; William Crawley-Boevey; Uppsala universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Division algebra; flexible algebra; normal form; composition algebra; absolute valued algebra; vector product; rotation.; MATHEMATICS; MATEMATIK;

    Abstract : 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. READ MORE

  6. 4. Towards Plane Hurwitz Numbers

    Author : Jared Ongaro; Boris Shapiro; Roy Skjelnes; Stockholms universitet; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; Algebraic curves; Hurwitz spaces; Mathematics; matematik;

    Abstract : 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. READ MORE

  7. 5. INCREMENTAL FAULT DIAGNOSABILITY AND SECURITY/PRIVACY VERIFICATION

    Author : Mona Noori-Hosseini; Chalmers tekniska högskola; []
    Keywords : NATURVETENSKAP; NATURAL SCIENCES; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; Temporal logic; Anonymity; Opacity; Discrete event systems.; Automation; Formal verification; Fault diagnosability; Incremental abstraction;

    Abstract : Dynamical systems can be classified into two groups. One group is continuoustime systems that describe the physical system behavior, and therefore are typically modeled by differential equations. The other group is discrete event systems (DES)s that represent the sequential and logical behavior of a system. READ MORE