5 problems

Let $\mathfrak g$ be a finite-dimensional reductive Lie algebra of rank $l$ over an algebraically closed field of characteristic zero. For $x\in\mathfrak g$, let $\mathfrak g_x$ be…

Let $\mathfrak{g}$ be a reductive Lie algebra over an algebraically closed field of arbitrary characteristic. A sheet is a stratum of elements with fixed orbit dimension; the claim…

Let $\mathfrak q$ be a reductive Lie algebra, and let $Q$ act on $\mathfrak q^*$ by the coadjoint representation. The representation has good index behaviour (GIB) if, for every…

Let $\mathfrak{g}$ be the reductive Lie algebra in the paper's positive-characteristic setting, let $U$ be its enveloping algebra, and let $Z=U^{\mathfrak{g}}$ be the centre. Braun…

Let $\mathfrak{g}$ be the reductive Lie algebra in the paper's positive-characteristic setting, let $U$ be its enveloping algebra, let $Z=U^{\mathfrak{g}}$ be the centre, and let…