Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "root system"
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Maximal Abelian Sets of Roots
(American Mathematical SocietyMemoirs of the American Mathematical Society, 201711)In this work we let Φ be an irreducible root system, with Coxeter group W. We consider subsets of Φ which are abelian, meaning that no two roots in the set have sum in Φ∪{0}. We classify all maximal abelian sets (i.e., ...