The ${\mathbb{Z}}_2$-graded dimensions of the free Jordan superalgebra $J(D_1|D_2)$

Shikui Shang

Let $k$ be a field of characteristic $0$. For a superspace $V=V_\bar{0}\oplus V_\bar{1}$ over $k$, we call the vector $(\dim_k V_\bar{0} ,\dim_k V_\bar{1})$ the (${\mathbb{Z}}_2$-)g…