Yamaguti algebras and noncrossing partitions
Algebraic Topology
2026-04-07 v2 Combinatorics
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.
Cite
@article{arxiv.2510.03148,
title = {Yamaguti algebras and noncrossing partitions},
author = {Frédéric Chapoton and Vladimir Dotsenko},
journal= {arXiv preprint arXiv:2510.03148},
year = {2026}
}