Campoamor Stursberg, Otto-Rudwig2023-06-182023-06-182015-09-142073-899410.3390/sym7031655https://hdl.handle.net/20.500.14352/23855Using elementary techniques, an algorithmic procedure to construct skew-symmetric matrices realizing the real irreducible representations of so(3) is developed. We further give a simple criterion that enables one to deduce the decomposition of an arbitrary real representation R of so(3) into real irreducible components from the characteristic polynomial of an arbitrary representation matrix.engAtribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/journal articlehttps://doi.org/10.3390/sym7031655https://www.mdpi.com/2073-8994/7/3/1655open access512514.743Real representationMatrix elementTensor productÁlgebra1201 Álgebra