Castrillón López, MarcoMuñoz Masqué, Jaime2023-06-202023-06-2020070020-774810.1007/s10773-006-9256-3https://hdl.handle.net/20.500.14352/50743It is proved that the Euler–Lagrange equations of a Yang-Mills type Lagragian is independent with respect to the chosen pairing in the Lie algebra. Moreover, the Hamilton- Cartan equations of these Lagrangians are obtained and proved to be also independent with respect to the pairing.engjournal articlehttp://link.springer.com/article/10.1007%2Fs10773-006-9256-3#page-1http://link.springer.comrestricted access515.16Adjoint-invariant pairinggauge invariancejet bundlesprincipal connectionYang-Mills fields.Geometria algebraica1201.01 Geometría Algebraica