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The connection between representation theory and Schubert calculus

Harry Tamvakis

math.AGarXiv:math/0306414

Abstract

We describe a direct connection between the representation theory of the general linear group and classical Schubert calculus on the Grassmannian, which goes via the Chern-Weil theory of characteristic classes. We also explain why the analogous constructions do not give the same result for other Lie groups.

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