Yamaguti algebras and noncrossing partitions
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 .
Fields of Study & Subjects
Advanced Algebra and Logic
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Mathematics Research Reports
- Volume
- 7
- Pages
- 59–69
- Publication date
- 17 June 2026
- Language
- EN