English

Intersection multiplicity one for classical groups

Algebraic Geometry 2017-07-24 v1 Representation Theory

Abstract

In this paper we show that when G\mathrm{G} is a classical semi-simple algebraic group, BG\mathrm{B}\subset\mathrm{G} a Borel subgroup, and X=G/B\mathrm{X} = \mathrm{G}/\mathrm{B}, then the structure coefficients of the Belkale-Kumar product 0\odot_{0} on H(X,Z)\mathrm{H}^{*}(\mathrm{X}, \mathbf{Z}) are all either 00 or 11.

Keywords

Cite

@article{arxiv.1707.06840,
  title  = {Intersection multiplicity one for classical groups},
  author = {Ivan Dimitrov and Mike Roth},
  journal= {arXiv preprint arXiv:1707.06840},
  year   = {2017}
}
R2 v1 2026-06-22T20:53:49.312Z