English

The connection between representation theory and Schubert calculus

Algebraic Geometry 2013-09-10 v2 Representation Theory

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.

Keywords

Cite

@article{arxiv.math/0306414,
  title  = {The connection between representation theory and Schubert calculus},
  author = {Harry Tamvakis},
  journal= {arXiv preprint arXiv:math/0306414},
  year   = {2013}
}

Comments

14 pages; final version