New polynomial equations of the Yang-Mills type (Q1851530)

The paper deals with the fields of Yang-Mills type which are given in the main fibering over the pseudo-Euclidean space \(R^4\) with structural group \(\mathrm{SU}(2)\). For the construction of such fields the author finds out the orthogonal and gauge algebraic invariants of the \(\mathfrak{su}(2)\)-valued antisymmetric tensor \(F_{\mu\nu}\). A minimal polynomial basis of such invariants is constructed in explicit form which contain 10 polynomials in power \(\leq 8\).