 For groups over finite fields, these representations were introduced by , first for the general linear groups, then for classical groups, and then for all Chevalley groups, with a construction that immediately generalized to the other groups of Lie type that were discovered soon after by Steinberg, Suzuki and Ree.Over a finite field of characteristic "p", the Steinberg representation has degree equal to the largest power of "p" dividing the order of the group.The Steinberg representation is the Alvis–Curtis dual of the trivial 1-dimensional representation.