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Abstract
We show that a connected split reductive group G over a field of characteristic 0 is 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. More precisely, we determine all isomorphisms compatible with the specified data.
Received: 2007-04-16
Revised: 2007-11-26
Published Online: 2008-09-30
© de Gruyter 2008