Generalised Gelfand-Graev representations in bad characteristic


General topic is the representation theory of finite groups of Lie type. Specific aims: Development of a theory of generalised Gelfand-Graev characters in bad characteristic. Application to open problems in the character theory of these groups, including the values of ordinary characters on unipotent elements and properties of decomposition matrices in non-defining characteristic. In connection with these aims, explicit induction of characters from unipotent subgroups in exceptional groups of Lie type.