Describing certain Lie algebra orbits via polynomial equations

N. M. Ivanova, C. A. Pallikaros

Let ${\mathfrak{h}}_3$ be the Heisenberg algebra and let $\mathfrak{g}$ be the 3-dimensional Lie algebra having $[e_1,e_2]=e_1(=-[e_2,e_1])$ as its only non-zero commutation relatio…