The geometry of weakly-einstein manifolds

  1. Mariño Villar, Rodrigo
unter der Leitung von:
  1. Eduardo García Río Doktorvater
  2. María Elena Vázquez Abal Co-Doktormutter

Universität der Verteidigung: Universidade de Santiago de Compostela

Fecha de defensa: 25 von Juni von 2021

Gericht:
  1. Ali Haji Badali Präsident/in
  2. Luis María Hervella Torrón Sekretär
  3. Miguel Brozos Vázquez Vocal
Fachbereiche:
  1. Departamento de Matemáticas

Art: Dissertation

Zusammenfassung

The aim of the project is to study the categorification of some algebraic structures that play an innovative role in mathematics and physics. In concrete, we will investigate Lie and Leibniz algebra crossed modules, their braided version and their relation with the Lie group crossed modules. We will study the extension theory of braided Lie algebra crossed modules, using the non-abelian tensor product of algebras of Lie introduced by Ellis, and will investigate the possible description of a Lie functor between the central extensions of Lie group crossed modules and the central extensions of Lie algebra crossed modules, and the realisation of a central extension crossed modules of algebras of Lie as the infinitesimal extension associated to a central extension of crossed modules of Lie groups.The aim of the project is to study the categorification of some algebraic structures that play an innovative role in mathematics and physics. In concrete, we will investigate Lie and Leibniz algebra crossed modules, their braided version and their relation with the Lie group crossed modules. We will study the extension theory of braided Lie algebra crossed modules, using the non-abelian tensor product of algebras of Lie introduced by Ellis, and will investigate the possible description of a Lie functor between the central extensions of Lie group crossed modules and the central extensions of Lie algebra crossed modules, and the realisation of a central extension crossed modules of algebras of Lie as the infinitesimal extension associated to a central extension of crossed modules of Lie groups.