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Supercharacter formulas for pattern groups

Supercharacter formulas for pattern groups

C. Andre and N. Yan introduced the idea of a supercharacter theory to give a tractable substitute for character theory in wild groups such as the unipotent uppertriangular group $U_n(\mathbb {F}_q)$. In this theory superclasses are certain unions of conjugacy classes, and supercharacters are a set of characters which are …