A Schubert calculus recurrence from the noncomplex W-action on G/B
Combinatorics
2007-05-23 v1
Abstract
In this paper, as in our previous "Descent-cycling in Schubert calculus" math.CO/0009112, we study the structure constants in equivariant cohomology of flag manifolds G/B. In this one we give a recurrence (which is frequently, but alas not always, positive) to compute these one by one, using the non-complex action of the Weyl group on G/B. Probably the most noteworthy feature of this recurrence is that to compute a particular structure constant c_{lambda,mu}^nu, one does not have to compute the whole product S_lambda * S_mu.
Cite
@article{arxiv.math/0306304,
title = {A Schubert calculus recurrence from the noncomplex W-action on G/B},
author = {Allen Knutson},
journal= {arXiv preprint arXiv:math/0306304},
year = {2007}
}
Comments
10 pages