Article ID Journal Published Year Pages File Type
4596020 Journal of Pure and Applied Algebra 2015 22 Pages PDF
Abstract
Let q be a prime power and U the group of lower unitriangular matrices of order n for some natural number n. We give a lower bound for the degrees of irreducible constituents of André-Yan supercharacters and classify the supercharacters having constituents whose degree assume this lower bound. Moreover we show that the number of distinct irreducible characters of U meeting this condition is a polynomial in (q−1) with nonnegative integral coefficients and exhibit monomial sources for those.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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