24 citations · 90 across the 13 of their papers we have counts for
13 papers
Gradings, Braidings, Representations, Paraparticles: some open problems
Konstantinos Kanakoglou
A long-term research proposal on the algebraic structure, the representations and the possible applications of paraparticle algebras is structured in three modules: The first part…
Towards applications of graded Paraparticle algebras
K. Kanakoglou, A. Herrera-Aguilar
An outline is sketched, of applications of the ideas and the mathematical methods presented at the 19th symposium of the Hellenic Nuclear Physics Society (HNPS) in Thessaloniki, Ma…
The notion of abstract Manifold: a pedagogical approach
K. Kanakoglou
A self-contained introduction is presented of the notion of the (abstract) differentiable manifold and its tangent vector fields. The way in which elementary topological ideas stim…
Graded Fock--like representations for a system of algebraically interacting paraparticles
K. Kanakoglou, A. Herrera-Aguilar
We will present an algebra describing a mixed paraparticle model, known in the bibliography as "The Relative Parabose Set (\textsc{Rpbs})". Focusing in the special case of a single…
Nonlinear hidden symmetries in General Relativity and String Theory: a matrix generalization of the Ernst potentials
Nandinii Barbosa-Cendejas, Alfredo Herrera-Aguilar, Konstantinos Kanakoglou +1
In this paper we recall a simple formulation of the stationary electrovacuum theory in terms of the famous complex Ernst potentials, a pair of functions which allows one to generat…
Variants of bosonisation in Parabosonic algebra. The Hopf and super-Hopf structures
K. Kanakoglou, C. Daskaloyannis
Parabosonic algebra in finite or infinite degrees of freedom is considered as a -graded associative algebra, and is shown to be a -graded (or: super…