The connection between representation theory and Schubert calculus

Details The connection between representation theory and Schubert calculus The connection between representation theory and Schubert calculus

2003-06-29

arxiv.org/abs/math/0306414v1

Mathematics

Algebraic Geometry

14 pages, LaTeX

Scientific paper

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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