Supercharacters for parabolic contractions of finite groups of 𝐴,𝐵,𝐶,𝐷 Lie types

Abstract

Supercharacter theories are constructed for the finite groups obtained by parabolic contraction from simple groups of A , B , C , D A,B,C,D Lie types. Supercharacters and superclasses are classified in terms of rook placements in root systems.