The title you provided seems to be already in the correct format. If you need any further assistance, feel free to ask

Wills Toro, Luis AlbertoVásquez Giraldo, Esteban2023-08-152023-08-152023https://repository.eia.edu.co/handle/11190/606119 páginasABSTRACT: we extend the algebras combining U(1) and external symmetries as inprevious works, for the case with internal SU(2)xU(1) and external symmetries in two stages: Lorentz extension, and then non-contracted and contracted Poincaré extension. Casimir elements and representations in differential operators are determined. Models with local symmetry are constructed for Lorentz and Poincaré symmetry extensions.application/pdfengThe title you provided seems to be already in the correct format. If you need any further assistance, feel free to askTrabajo de grado - PregradoLie Alegrebras, Gauge Theory, SU(2), U(1), Higgs