M. Aguilar

collaborators

2 papers

math-ph1999

The Universal Covering Group of U(n) and Projective Representations

M. A. Aguilar, M. Socolovsky

Using fibre bundle theory we construct the universal covering group of U(n), $U ~ (n)$ , and show that $U ~ (n)$ is isomorphic to the semidirect product $SU(n)\bigcirc {\s…

hep-th1998

On the Topology of the Symmetry Group of the Standard Model

M. A. Aguilar, M. Socolovsky

We study the topological structure of the symmetry group of the standard model, $G_{S M} = U (1) \times S U (2) \times S U (3)$ . Locally, $G_{S M} ≅ S^{1} \times (S^{3})^{2} \times S^{5}$ . For SU(3)…