Basic characters of the unitriangular group (for arbitrary primes)

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Branching rules in the ring of superclass functions of unipotent upper-triangular matrices (2008, background): “I especially appreciated related conversations with André, Diaconis, Isaacs, and Yan during this period.”
Supercharacters and superclasses for algebra groups (2007, background): “The fact that the corresponding Kirillov character is irreducible appears as Lemma 2 of [3], where André calls these characters “elementary”.”
Super-characters of finite unipotent groups of types B n , C n and D n (2006, background): “Our definition extends the one given previously for the case of the unitriangular group Un(q) (see the papers [1,3] and also [11]; in the first two papers, the super-characters were called basic characters), and is also given in terms of certain subsets of (positive) roots.”
Supercharacter formulas for pattern groups (2006, background): “While describing the conjugacy classes or irreducible characters of Un(Fq) is a well-known wild problem, Carlos André [1, 2, 4] and Ning Yan [17, 18] have shown that certain unions of conjugacy classes (here-after superclasses) and certain characters (here-after supercharacters) have an elegant theo”