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arXiv · 2510.03148

Yamaguti algebras and noncrossing partitions

Frédéric Chapoton·Vladimir Dotsenko
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Abstract

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.

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Frédéric Chapoton, Vladimir Dotsenko. 2025-10-03. Yamaguti algebras and noncrossing partitions. https://doi.org/10.5802/mrr.27

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