Determining a connected split reductive group from its irreducible representations
arXiv:math/0211182
Abstract
We show that a connected split reductive group G over a field of characteristic 0 is uniquely determined up to isomorphism by specifying a maximal torus T of G, the set of isomorphism classes of irreducible representations of G, and the character homomorphism from the Grothendieck ring of G to that of T.
11 pages, LaTeX