3 problems

Decomposition conjecture. For $n>2$, any $n$-Filippov algebra splits into the direct product of a trivial $n$-Filippov algebra and a number of non-trivial $n$-Filippov algebras of…

Decomposability characterization of Nambu tensors. The equation

Let $P\bigl(\varrho,[{\boldsymbol a}]\bigr)$ be a Nambu–Poisson bi-vector on $\mathbb{R}^d$ with $d\geqslant3$, where $\varrho$ is a function and $a_1,\ldots,a_{d-2}$ are Casimirs.…