• Characterization of principal bundles: the commutative case 

      Ugalde Gómez, William Javier (2023-10-04)
      A review of the characterization of principal bundles, through the different properties of the action of a group and its related canonical and translation maps, is presented. The work is divided in three stages: a topological ...
    • Characterization of principal bundles: the noncommutative algebraic case 

      Ugalde Gómez, William Javier (2024)
      We review Hopf–Galois extensions, in particular faithfully flat ones, accepted to be the noncommutative algebraic dual of a principal bundle. We also make a short digression into how quantum groups relate to Hopf—Galois ...