Yamaguti algebras and noncrossing partitions
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866917386665328640 |
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| author | Chapoton, Frédéric Dotsenko, Vladimir |
| author_facet | Chapoton, Frédéric Dotsenko, Vladimir |
| contents | Recently, Das defined a new type of algebras, the Yamaguti algebras, which are supposed to serve as envelopes of Lie-Yamaguti algebras appearing naturally in differential geometry. We show that the nonsymmetric operad of Yamaguti algebras admit a simple combinatorial description via noncrossing partitions without singleton blocks. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03148 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Yamaguti algebras and noncrossing partitions Chapoton, Frédéric Dotsenko, Vladimir Algebraic Topology Combinatorics Recently, Das defined a new type of algebras, the Yamaguti algebras, which are supposed to serve as envelopes of Lie-Yamaguti algebras appearing naturally in differential geometry. We show that the nonsymmetric operad of Yamaguti algebras admit a simple combinatorial description via noncrossing partitions without singleton blocks. |
| title | Yamaguti algebras and noncrossing partitions |
| topic | Algebraic Topology Combinatorics |
| url | https://arxiv.org/abs/2510.03148 |