Three highest degree irreducible representations of upper triangular groups U_n(q)

Mathematics – Representation Theory

Scientific paper

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15 pages, 8 Postscript figures in .zip file

Scientific paper

Let U_n(q) denote the upper upper triangular group of degree n over the
finite field F_q with q elements. In this paper, we present the constructions
of the three highest degree (complex) irreducible representations of U_n(q)
where n>=7.

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