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arxiv: math/0211182 · v2 · submitted 2002-11-12 · 🧮 math.RT · math.AG· math.CO

Determining a connected split reductive group from its irreducible representations

classification 🧮 math.RT math.AGmath.CO
keywords connectedgroupirreducibleisomorphismreductiverepresentationssplitcharacter
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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.

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