Work

Balanced subsets in root systems

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.11219

Authors: Moroianu, Andrei, Schwahn, Paul

Institutions: Centre National de la Recherche Scientifique, Université Paris-Saclay, Laboratoire de Mathématiques d'Orsay, IMAR - Institutul de Matematică „Simion Stoilow” al Academiei Române, Romanian Academy, Universidade Estadual de Campinas (UNICAMP)

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Fundação de Amparo à Pesquisa do Estado de São Paulo

OpenAlex ID: W7160983764

Cites:

Cited by: 1

Related to: 10