High Quality Content by WIKIPEDIA articles! In mathematics, the Steinberg representation, or Steinberg module, denoted by St, is a particular linear representation of a group of Lie type over a finite field of characteristic p, of degree equal to the largest power of p dividing the order of the group. These representations were discovered by Robert Steinberg (1957). Most finite simple groups have exactly one Steinberg representation. A few have more than one because they are groups of Lie type in more than one way, and sporadic and most alternating groups have no Steinberg representation.

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