2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52757It is shown how the theory of the fields can be constructed in a consistent way in quantized spaces. All constructions are connected with unitary irreducible representations of real forms of six dimensional rotation algebras O(1,5), O(2,4), O(3,3) or equivalent real forms of four-dimensional unitary algebras SU^*(4),SU(2,2),SL(4). The most surprising fact is that that all operations in the construction of such field theories are connected with compact manifolds. The gauge invariant theory in quantized space is proposed.17 pagesHigh Energy Physics - Theorytext