There is no rigorous and universally accepted definition of the term quantum space. Without however, it is generally understood as certain deformations of classical objects associated with algebraic groups. We can illustrate ...

On the following thesis, the Fredholm’s index associated to the Dirac operator over the 2- sphere is going to be computed. By making use of Atiyah’s and Singer’s index theory, and by using projections, such computation for ...

In this thesis, start with four local charts of the flat torus and lift the transition function with the 2:1 covering map of the spin group to the especial orthogonal group, in order to obtain the four families, which are ...

To carry out the study of function algebras in non-commutative geometry, it is vital extend the classical tools, such as differential and integral calculus, transformations of symmetry, invariant measure, non-commutative ...

In this project we will cover the Markings in Krein spaces. The research focuses on show that if you have Frames for Krein spaces you have Frames for Hilbert space partner and vice versa. It is also analyzed what happens ...

We studied the qualitative behavior that follows a particle of mass m > 0 restricted on the 2-sphere S2, describing trajectories with certain initial conditions of the fundamental variables that are originated from a system ...

As can be seen in [4] and [2], the Dirac operator on Riemannian manifolds has been well known for a long time. The main objective of this thesis is to explicitly present the Dirac operator on the 2-sphere (S2), which means ...

In this work we develope the basic concepts needed for K-theory of C_-algebras, presenting before, as an introduction, a discusion on vector bundles, topological K-theory and Serre- Swan’s Theorem; we conclude with the ...