A symmetric biderivation structure on polynomial algebras and a class of modules over the special Jordan algebra $H_n(K)$ of symmetric matrices

Yangjie Yin, Gang Han

There exists a biderivation structure on the polynomial algebra $\mathcal{A}[n]=K[x_1,\dots ,x_n],$ where $K$ is a field with $\mathrm{char}(K)\ne 2$, defined by $f \circ h…