A note on sums of roots. (English) Zbl 1431.17007

Summary: In this paper, we look at properties of roots which can be written as sums of roots in crystallographic root systems. We derive properties of the poset associated to such a sum consisting of the subsums which are themselves roots.


17B22 Root systems
20F55 Reflection and Coxeter groups (group-theoretic aspects)


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