3 problems

Let $\mathfrak{sp}_{2n}$ be the symplectic Lie algebra, and consider a parabolic subalgebra of type (b) with block parameters $d=(d_1,\ldots,d_r,d_{r+1},d_r,\ldots,d_1)$. Let…

For every $n\geqslant3$, let ${\mathcal O}(\boldsymbol{\lambda})\subset{\mathfrak{sl}}_n$ be the unique nilpotent orbit with … where ${\mathfrak b}$ is a Borel subalgebra and…

Let ${\mathfrak g}$ be a simple Lie algebra. A Lie subalgebra is Frobenius when its index is zero; let ${\EuScript M}_{\sf Fr}$ denote the corresponding maximal dimension invariant…