Supercharacters for finite groups of triangular type

ABSTRACT

We construct a supercharacter theory for the finite groups of triangular type. Its special case is the supercharacter theory for algebra groups of Diaconis and Isaacs. The supercharacter analog of the Kirillov formula for irreducible characters of unipotent groups is proved.

KEYWORDS:

• Group representations
• orbit method
• supercharacter theory
• triangular group

2010 MATHEMATICS SUBJECT CLASSIFICATION:

• 20C05
• 20F16