5 papers
From Lorentz to : contraction, four-dimensional algebraic relations and projective representations
J. E. Rodrigues, J. M. B. Matzenbacher, G. M. Caires da Rocha +1
We present a comprehensive study on and groups, their representations and algebraic aspects. These groups, together with , arise as the symmetry groups o…
A unified approach to spinor duals via Clifford algebras and groups
R. T. Cavalcanti, J. M. Hoff da Silva
Recent developments in the construction of generalized Dirac duals have revealed, within the structure of the Clifford algebra the existen…
Deformations in spinor bundles: Lorentz violation and further physical implications
J. M. Hoff da Silva, R. T. Cavalcanti, G. M. Caires da Rocha
This paper delves into the deformation of spinor structures within nontrivial topologies and their physical implications. The deformation is modeled by introducing real functions t…
A note on hidden classes in spinor classification
R. J. Bueno Rogerio, R. T. Cavalcanti, C. H. Coronado Villalobos +1
The Lounesto classification is a well-established scheme for categorizing spinors based on their physical content, which are determined by their associated bilinear forms. It consi…
Enlargement of symmetry groups in physics: a practitioner's guide
Lehel Csillag, Julio Marny Hoff da Silva, Tudor Patuleanu
Wigner's classification has led to the insight that projective unitary representations play a prominent role in quantum mechanics. The physics literature often states that the theo…