Work

Yamaguti algebras and noncrossing partitions

Year: 2026

Type: article

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 admits a combinatorial description via noncrossing partitions without singleton blocks, and a representation-theoretic description as the equivariant endomorphism operad of the adjoint module of the Lie algebra 𝔰𝔩 2 .

Source: Mathematics Research Reports

DOI: 10.5802/mrr.27

Authors: Frédéric Chapoton, Vladimir Dotsenko

Institutions: Centre National de la Recherche Scientifique, Institut de Recherche Mathématique Avancée, Université de Strasbourg

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: Agence Nationale de la Recherche

Award: Higher Algebra, Geometry, and Topology