Low-dimensional irreducible rational representations of classical algebraic groups

2018/11/16 by Martínez, Álvaro L.
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1811.07019

Abstract

Let G be an algebraic group of classical type of rank l over an algebraically closed field K of characteristic p. We list and determine the dimensions of all irreducible KG-modules L with dim L < \binoml+14 if G is of type A_l, and with dim L < 16 \binoml4, if G is of type B_l, C_l or D_l.

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