Determining a connected split reductive group from its irreducible representations

Details Determining a connected split reductive group from its irreducible representations Determining a connected split reductive group from its irreducible representations

2002-11-12

arxiv.org/abs/math/0211182v2

Mathematics

Representation Theory

11 pages, LaTeX

Scientific paper

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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