Determining a connected split reductive group from its irreducible representations
Representation Theory
2007-05-23 v2 Algebraic Geometry
Combinatorics
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.
Cite
@article{arxiv.math/0211182,
title = {Determining a connected split reductive group from its irreducible representations},
author = {CheeWhye Chin},
journal= {arXiv preprint arXiv:math/0211182},
year = {2007}
}
Comments
11 pages, LaTeX