Sökning: "Lie algebras"

Visar resultat 16 - 20 av 42 avhandlingar innehållade orden Lie algebras.

  1. 16. 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

  3. 17. Strings, Gravitons, and Effective Field Theories

    Författare :Igor Buchberger; Marcus Berg; Joseph A. Minahan; Karlstads universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; string theory; amplitudes; supersymmetry; particle phenomenology; BMSSM; modified gravity; bimetric; massive gravity; Lie algebras; ribbon categories; Physics; Fysik;

    Sammanfattning : This thesis concerns a range of aspects of theoretical physics. It is composed of two parts. In the first part we motivate our line of research, and introduce and discuss the relevant concepts. In the second part, four research papers are collected. LÄS MER

  4. 18. Quasi-hom-Lie Algebras, from Twisted Derivations-like Operators to Deformations and Extensions of Infinite-dimensional and Color Lie-algebras

    Författare :Daniel Larsson; Matematik LTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : A.... LÄS MER

  5. 19. Structure and representations of certain classes of infinite-dimensional algebras

    Författare :Brendan Frisk Dubsky; Volodymyr Mazorchuk; Martin Herschend; Rolf Farnsteiner; Uppsala universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; infinite-dimensional algebras; representation theory; category O; koszul; koszulity; injections; dihedral; preprojective; young lattice; Mathematics; Matematik;

    Sammanfattning : We study several infinite-dimensional algebras and their representation theory. In Paper I, we study the category O for the (centrally extended) Schrödinger Lie algebra, which is an analogue of the classical BGG category O. We decompose the category into a direct sum of "blocks", and describe Gabriel quivers of these blocks. LÄS MER

  7. 20. 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