Yamaguti algebras and noncrossing partitions
Frédéric Chapoton, Vladimir Dotsenko
公開日: 2025/10/3
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.