Abstract Based on a fundamental symmetry between space, time, mass and charge, a series of group structures of physical interest is generated, ranging from C2 to E8. The most significant result of this analysis is a version of the Dirac equation combining quaternions and multivariate 4-vectors, which is already second quantized and intrinsically supersymmetric, and which automatically leads to a symmetry breaking, with the creation of specific particle structures and a mass-generating mechanism
Dynamical Symmetry Breaking is studied as an alternative to the Standard Model. A set of dynamical e...
The Dirac theory implies the existence of an internal vector space, in addition to spin space. Using...
Based on the author's well-established courses, Group Theory for the Standard Model of Particle Phys...
This report presents a survey of symmetries and the various applications of their mathematical frame...
Abstract — The Dirac algebra is examined as a hypercomplex number sys-tem, where there are six basic...
International audienceA symmetry scheme based on the irreducible corepresentations of the full symme...
The object of the thesis is to show that the quaternion algebra can be applied successfully to the d...
As noticed in 1884 by Pierre Curie [1], physical properties of matter are tightly related to the kin...
In Dirac's theory, solutions generated by the mass reversal operation M and by the operators MG are ...
The construction of the Dirac observables in the P 2 ? 0 stratum for a system of N relativistic f...
Felix Klein classified geometries by their group structure. It is pointed out that a similar program...
We study the left and right action of quaternionic numbers. The standard problems arising in the def...
AbstractWe develop quaternionic analysis using as a guiding principle representation theory of vario...
The concept of groups originally came from several branches of mathematics, including geometry, numb...
The applications of quaternion in physics are discussed with an emphasis on elementary particle symm...
Dynamical Symmetry Breaking is studied as an alternative to the Standard Model. A set of dynamical e...
The Dirac theory implies the existence of an internal vector space, in addition to spin space. Using...
Based on the author's well-established courses, Group Theory for the Standard Model of Particle Phys...
This report presents a survey of symmetries and the various applications of their mathematical frame...
Abstract — The Dirac algebra is examined as a hypercomplex number sys-tem, where there are six basic...
International audienceA symmetry scheme based on the irreducible corepresentations of the full symme...
The object of the thesis is to show that the quaternion algebra can be applied successfully to the d...
As noticed in 1884 by Pierre Curie [1], physical properties of matter are tightly related to the kin...
In Dirac's theory, solutions generated by the mass reversal operation M and by the operators MG are ...
The construction of the Dirac observables in the P 2 ? 0 stratum for a system of N relativistic f...
Felix Klein classified geometries by their group structure. It is pointed out that a similar program...
We study the left and right action of quaternionic numbers. The standard problems arising in the def...
AbstractWe develop quaternionic analysis using as a guiding principle representation theory of vario...
The concept of groups originally came from several branches of mathematics, including geometry, numb...
The applications of quaternion in physics are discussed with an emphasis on elementary particle symm...
Dynamical Symmetry Breaking is studied as an alternative to the Standard Model. A set of dynamical e...
The Dirac theory implies the existence of an internal vector space, in addition to spin space. Using...
Based on the author's well-established courses, Group Theory for the Standard Model of Particle Phys...