Simple n-Lie Poisson Algebras
Abstract
Let $(A,\cdot,ω)$ be a simple $n$-Lie Poisson algebra over a field of zero characteristic, $ 1 \in A.$ Then we prove that the $n$-Lie algebra $A^{[1]}/(A^{[1]}\cap Z)$ is simple, where $A^{[1]}$ denotes the derived $n$-Lie ideal and $Z$ is the center of $n$-Lie algebra $(A,ω)$.
Fields of Study & Subjects
Advanced Topics in Algebra
Homotopy and Cohomology in Algebraic Topology
Rings
Modules
and Algebras
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 5 February 2026
- Document type
- Preprint