Describing certain Lie algebra orbits via polynomial equations

• Date: 2019
• Main Authors: Ivanova, N., Pallikaros, C., Іванова, Н., Паллікарос, К.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2019
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/370
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

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 relations. We describe the closure of the orbit of a vector of structure constants corresponding to $\mathfrak{h}_3$ and $\mat...