Representations of Sn

Having survived the long exploration of semisimple structure, we may think that midway on our journey we find ourselves in deep woods, the right path lost [16]. But this is not the time to abandon hope; instead, we plunge right into untangling the structure of representations of an important family of groups, the permutation groups S n . This will be the only important class of finite groups to which we will apply all the machinery we have manufactured. A natural pathway beyond this is the study of representations of reflection groups.