Semisimplifying Lie algebras of $J$-ternary algebras in characteristic $3$

Michiel Smet

We describe a class of Lie superalgebras in characteristic $3$, containing the Elduque-Cunha superalgebras $\mathfrak{g}(3,3),\mathfrak{g}(6,6)$ and the Elduque superalgebra $\mat…