Intersection multiplicity one for classical groups

Dimitrov, Ivan; Roth, Mike

doi:10.1007/s00031-018-9509-2

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Intersection multiplicity one for classical groups

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Dimitrov, Ivan
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s00031-018-9509-2
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arXiv:1707.06840.pdf
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Dimitrov, I., & Roth, M. (2019). Intersection multiplicity one for classical groups. Transformation Groups, 24(4), 1001-1014. doi:10.1007/s00031-018-9509-2.

Cite as: https://hdl.handle.net/21.11116/0000-0006-3E0B-A

Abstract

In this paper we show that when $\mathrm{G}$ is a classical semi-simple
algebraic group, $\mathrm{B}\subset\mathrm{G}$ a Borel subgroup, and
$\mathrm{X} = \mathrm{G}/\mathrm{B}$, then the structure coefficients of the
Belkale-Kumar product $\odot_{0}$ on $\mathrm{H}^{*}(\mathrm{X}, \mathbf{Z})$
are all either $0$ or $1$.