Kostant polynomials and the cohomology ring for G/B.

@article{Billey1997KostantPA,
title={Kostant polynomials and the cohomology ring for G/B.},
author={Sara C. Billey},
journal={Proceedings of the National Academy of Sciences of the United States of America},
year={1997},
volume={94 1},
pages={
29-32
}
}

The Schubert calculus for G/B can be completely determined by a certain matrix related to the Kostant polynomials introduced in section 5 of Bernstein, Gelfand, and Gelfand [Bernstein, I., Gelfand, I. & Gelfand, S. (1973) Russ. Math. Surv. 28, 1-26]. The polynomials are defined by vanishing properties on the orbit of a regular point under the action of the Weyl group. For each element w in the Weyl group the polynomials also have nonzero values on the orbit points corresponding to elements… CONTINUE READING