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arXiv · 0912.0385

Counting irreducible representations of large degree of the upper triangular groups

Tung Le
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Abstract

Let $U_n(q)$ be the upper triangular group of degree $n$ over the finite field $\F_q$ with $q$ elements. In this paper, we present constructions of large degree ordinary irreducible representations of $U_n(q)$ where $n\geq 7$, and then determine the number of irreducible representations of largest, second largest and third largest degrees.

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Tung Le. 2013-08-06. Counting irreducible representations of large degree of the upper triangular groups. https://arxiv.org/abs/0912.0385

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