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Quantum fields in toroidal topology
(2011)
The standard representation of c∗-algebra is used to describe fields in compactified space–time dimensions characterized by
topologies of the type Γ d D = (S1)d × MD−d. The modular operator is generalized to introduce ...
Strong multiplicity one theorems for locally homogeneous spaces of compact type
(American Mathematical Society, 2020-03-02)
Let G be a compact connected semisimple Lie group, let K be a closed subgroup of G, let Γ be a finite subgroup of G, and let τ be a finitedimensional representation of K. For π in the unitary dual G of G, denote by nΓ(π) ...
Gk Dimension Of The Relatively Free Algebra For Sl2
(Springer-Verlag Wien, 2014)
RESTRICTED LIMITS OF MINIMAL AFFINIZATIONS
(Pacific Journal MathematicsBerkeleyEUA, 2010)
A view toward the geometry of normalizing sequences in finitely semi-graded algebras
(Bogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-05-15)
En este trabajo vemos el comportamiento de la sucesión normalizadora en
álgebras semi-graduadas. Primero, definimos la sucesión regular y el complejo de Koszul
en el caso conmutativo. Usando la variedad de ideales máximos, ...
Algebraic properties of weak quantum symmetries
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - MatemáticasFacultad de CienciasBogotá,ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2023-07-24)
This thesis investigates the properties of weak bialgebras and weak Hopf algebras, their (co)representations, and applications in groupoids, path algebras, and Lie algebroids. The research employs algebraic and categorical ...
Some combinatorial topics in representation theory of algebras and its applications
(Departamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-02)
This thesis deals with a range of questions in combinatorial aspects of the representation theory of algebras and its applications. In particular, we provide a solution to the following problems:
1. How is it possible ...