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arXiv · 1903.00325

Root Systems and the Atiyah-Sutcliffe Problem

Joseph Malkoun
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Abstract

In this short note, we show that the Atiyah-Sutcliffe conjectures for $n = 2m$, related to the unitary groups $U(2m)$, imply the author's analogous conjectures, which are associated with the symplectic groups $Sp(m)$. The proof is based on the simple fact that the root system of $U(2m)$ dominates that of $Sp(m)$.

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Joseph Malkoun. 2019-02-28. Root Systems and the Atiyah-Sutcliffe Problem. https://doi.org/10.1063/1.5111442

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