PreprintarXiv licencearXiv
Balanced subsets in root systems
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.
Related
- Learning Representative Port Subsets for Efficient Fluid Antenna Systems
- Symmetric Hermite quadrature-based balanced truncation for learning linear dynamical systems from derivative data
- A Hierarchical Online-Compression Approach to Proportional Subsets of Bounded Orthonormal Systems
- Balanced truncation for bilinear time-delay systems with approximate Gramians
- Operator-ADI balanced truncation of delay differential systems
BibTeX
@misc{moroianu2026balanced,
title = {{Balanced subsets in root systems}},
author = {Andrei Moroianu and Paul Schwahn},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2605.11219},
eprint = {2605.11219},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.11219},
}
RIS
TY - UNPB
TI - Balanced subsets in root systems
AU - Andrei Moroianu
AU - Paul Schwahn
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2605.11219
UR - https://arxiv.org/abs/2605.11219
AB - 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.
ER -