4 problems

Let $\mathfrak{g}_I$ be an intermediate Lie algebra between $\mathfrak{g}_1$ and $\mathfrak{g}_2$, and let the associated theta block be constructed from the positive roots and wei…

For each intermediate Lie algebra in the intermediate exceptional series, form the theta block from its associated positive roots and weights, using the construction described in t…

Let $\Theta\in J_{k,t}$ be a theta block with trivial character and with order of vanishing $1$ in $q$. Here $J_{k,t}$ denotes the space of Jacobi forms of weight $k$ and index $t$…

Let $L$ be the lattice indexing the Jacobi-form space $J_{k,L,1}$, and let $\phi\in J_{k,L,1}$. Let $T_{-}(2)$ denote the index-raising Hecke operator, and let…