Lie algebras associated with modules over polynomial rings

• Datum: 2017
• Hauptverfasser: Petravchuk, A. P., Sysak, K. Ya., Петравчук, А. П., Сисак, К. Я.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1773
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

Let $\mathbb{K}$ be an algebraically closed field of characteristic zero. Let $V$ be a module over the polynomial ring $K[x, y]$. The actions of $x$ and $ y$ determine linear operators P and Q on V as a vector space over $\mathbb{K}$. Define the Lie algebra $L_V = K\langle P,Q\rangle \rightthreetim...