Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596020 | Journal of Pure and Applied Algebra | 2015 | 22 Pages |
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 (qâ1) with nonnegative integral coefficients and exhibit monomial sources for those.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Richard Dipper, Qiong Guo,