Small-dimensional representations of algebraic groups of type A_l

2017/10/18 by Martínez, Álvaro L.
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1710.06890

Abstract

For G an algebraic group of type A_l over an algebraically closed field of characteristic p, we determine all irreducible rational representations of G in defining characteristic with dimensions ≤ (l+1)^s for s = 3, 4, provided that l > 18, l > 35 respectively. We also give explicit descriptions of the corresponding modules for s = 3.

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