 Moreover, it belongs to a block of defect zero.A block of defect zero contains only one ordinary character and only one modular character.Another version states that if "k" is a field of characteristic zero, "A" is a "k"-algebra, "V", "W" are semisimple "A"-modules which are finite dimensional over "k", and Tr"V" = Tr"W" as elements of Homk("A",k), then "V" and "W" are isomorphic as "A"-modules.