Sökning: "Lie Algebras"

Visar resultat 6 - 10 av 42 avhandlingar innehållade orden Lie Algebras.

  1. 6. Kantor Triple Systems

    Författare :Daniel Mondoc; Matematik (naturvetenskapliga fakulteten); []
    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 : The main purpose of this thesis is to study real exceptional Kantor triple systems. In the first paper we first prove the known results in both the real and complex classical cases of K-simple Kantor triple systems. In the real classical case our approach gives somewhat simpler formulas. LÄS MER

  3. 7. Kähler-Poisson Algebras

    Författare :Ahmed Al-Shujary; Joakim Arnlind; Milagros Izquierdo; Johan Öinert; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : The focus of this thesis is to introduce the concept of Kähler-Poisson algebras as analogues of algebras of smooth functions on Kähler manifolds. We first give here a review of the geometry of Kähler manifolds and Lie-Rinehart algebras. After that we give the definition and basic properties of Kähler-Poisson algebras. LÄS MER

  4. 8. Exceptional Lie algebras and M-theory

    Författare :Jakob Palmkvist; Marc Henneaux; Chalmers tekniska högskola; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES;

    Sammanfattning : In this thesis we study algebraic structures in M-theory, in particular the exceptional Lie algebras arising in dimensional reduction of its low energy limit, eleven-dimensional supergravity. We focus on e8 and its infinite-dimensional extensions e9 and e10. LÄS MER

  5. 9. Dualities, affine vertex operator algebras, and geometry of complex polynomials

    Författare :Julius Borcea; Matematik (naturvetenskapliga fakulteten); []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Sendov s conjecture; annihilating fields; relative vertex operators; twisted modules; vertex operator algebras; Affine Lie algebras; standard modules; geometry of polynomials.; Mathematics; Matematik;

    Sammanfattning : This thesis consists of two parts which deal with different subjects. In the first part we study certain aspects of the representation theory of affine Kac-Moody Lie algebras and related structures. LÄS MER

  7. 10. Classification and Construction of Low-dimensional Hom-Lie Algebras and Ternary Hom-Nambu-Lie Algebras

    Författare :Elvice Ongong'a; Sergei Silvestrov; Johan Richter; Joakim Arnlind; Mälardalens högskola; []
    Nyckelord :Mathematics Applied Mathematics; matematik tillämpad matematik;

    Sammanfattning : This thesis concerns the construction and classification of low-dimensional Hom-Lie algebras and ternary Hom-Nambu-Lie algebras. A classification of 3-dimensional Hom-Lie algebras is given for nilpotent linear endomorphism, as a twisting map, and a construction of 4-dimensional Hom-Lie algebras is done. LÄS MER