Strongly orthogonal subsets in root systems
Strongly orthogonal subsets in root systems
We classify maximal strongly orthogonal subsets ( =MSOS 's) in irreducible root systems under the action of Weyl groups, including non-reduced cases.We show that among irreducible root systems, B_{n}(n=even) , C_{n}(n\geq 2) , F_{4} and BC_{n}(n\geq 1) admit several inequivalent MSOS's.As an application of this result, we give a classification …