5 problems

Let $\0$ be the nilpotent orbit with Bala–Carter label $E_8(b_6)$, let $\0'=A_4+A_2+A_1$, and let ${\mathcal S}'$ be the Slodowy slice from $\0'$ to $\overline{\0}$. Let…

Let $G$ be a complex reductive group with Lie algebra $\fg$, let $G^{\vee}$ be its dual group with Lie algebra $\fg^\vee$, and let $\OO^\vee\subset\fg^\vee$ be a nilpotent orbit. L…

Theorem concerns the universal base and universal element for the relevant Poisson deformation in the subregular case. Generalization conjecture. The theorem should hold in general…

Let $e_1,e_2\in\mathfrak{g}$ be nilpotent elements, and let $\mathfrak{m}_1,\mathfrak{m}_2\subseteq\mathfrak{g}$ be the subalgebras constructed for a covering pair of nilpotent orb…

Let $\mathfrak{g}$ be a semisimple Lie algebra, let $e\in\mathfrak{g}$ be nilpotent, and let $\mathfrak{X}_{P,0}^e$ be the corresponding variety in the discussion. Special-leaf con…