Balanced subsets in root systems
Representation Theory
2026-05-13 v1 Combinatorics
Rings and Algebras
Abstract
Balanced and well-balanced subsets of the set of positive roots of compact Lie algebras arise naturally in problems related to Hermitian and spin geometry. In this paper we compute the maximal and minimal size of well-balanced subsets in all simple root systems.
Keywords
Cite
@article{arxiv.2605.11219,
title = {Balanced subsets in root systems},
author = {Andrei Moroianu and Paul Schwahn},
journal= {arXiv preprint arXiv:2605.11219},
year = {2026}
}
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13 pages