Horospherical splittings of $\mathfrak{g}$ and related Poisson commutative subalgebras of $\mathcal{S}(\mathfrak{g})$

Dmitri Panyushev, Oksana Yakimova

Let a Lie algebra $\mathfrak{q}$ be a linear sum of two complementary subalgebras $\mathfrak{h}$ and $\mathfrak{r}$. We continue our investigations initiated in (J. London Math. Soc.…