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|Title:||Determining a connected split reductive group from its irreducible representations|
|Source:||Chin, C. (2008-11). Determining a connected split reductive group from its irreducible representations. Journal of Group Theory 11 (6) : 799-812. ScholarBank@NUS Repository. https://doi.org/10.1515/JGT.2008.050|
|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. © © de Gruyter 2008 2008.|
|Source Title:||Journal of Group Theory|
|Appears in Collections:||Staff Publications|
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