Sökning: "Lie group"

Visar resultat 6 - 10 av 82 avhandlingar innehållade orden Lie group.

  1. 6. 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. 7. Abelian Extensions, Fractional Loop Group and Quantum Fields

    Författare :Pedram Hekmati; Jouko Mickelsson; Christoph Schweigert; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Lie group extensions; Lie conformal algebras; gerbes; twisted K-theory; renormalization; anomalies; D-brane charges; variational complex; Mathematical physics; Matematisk fysik;

    Sammanfattning : This thesis deals with the theory of Lie group extensions, Lie conformal algebras and twisted K-theory, in the context of quantum physics. These structures allow for a mathematically precise description of certain aspects of interacting quantum field theories. LÄS MER

  4. 8. Canoniical involutions and bosonic representations of three-dimensional lie colour algebras

    Författare :Gunnar Sigurdsson; KTH; []
    Nyckelord :generalized lie algebra; grading group; commutation factor;

    Sammanfattning : .... LÄS MER

  5. 9. Symmetries and conservation laws

    Författare :Raisa Khamitova; Börje Nilsson; Claes Jougréus; Maria Luz Gandarias; Växjö universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; conservation law; Noether s theorem; Lie group analysis; Lie-Bäcklund transformations; basis of conservation laws; formal Lagrangian; self-adjoint equation; quasi-selfadjoint; equation; nonlocal conservation law; Mathematical physics; Matematisk fysik;

    Sammanfattning : Conservation laws play an important role in science. The aim of this thesis is to provide an overview and develop new methods for constructing conservation laws using Lie group theory. The derivation of conservation laws for invariant variational problems is based on Noether’s theorem. LÄS MER

  7. 10. Geometric control methods for nonlinear systems and robotic applications

    Författare :Claudio Altafini; KTH; []
    Nyckelord :Geometric control; Differential geometric methods; Nonlinear control systems; Control of mechanical systems; Robot dynamics and control; Lie groups; Variational problems; Group symmetry; Reachability; Switching systems;

    Sammanfattning : .... LÄS MER