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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.11219 |
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| _version_ | 1866910209901854720 |
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| author | Moroianu, Andrei Schwahn, Paul |
| author_facet | Moroianu, Andrei Schwahn, Paul |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_11219 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Balanced subsets in root systems Moroianu, Andrei Schwahn, Paul Representation Theory Combinatorics Rings and Algebras 17B22, 17B25 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. |
| title | Balanced subsets in root systems |
| topic | Representation Theory Combinatorics Rings and Algebras 17B22, 17B25 |
| url | https://arxiv.org/abs/2605.11219 |