Derivations, 12-derivations and transposed Poisson algebra structures on conformal Galilei algebras
Abstract
Let g˜(l) be the conformal Galilei algebra over the complex number field C, where l∈N−12, N is the set of all positive integers. In this paper, we decompose any derivation of the conformal Galilei algebra as a sum of three standard derivations, and prove that any 12-derivation of the conformal Galilei algebra is a scalar multiplication map. Moreover, it is showed that the conformal Galilei algebra has no nontrivial transposed Poisson algebra structure.
Fields of Study & Subjects
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Communications in Algebra
- Volume
- 54
- Issue
- 11
- Pages
- 3554–3564
- Publication date
- 18 January 2026
- Language
- EN