Automorphic equivalence of the representations of Lie algebras

• Date: 2018
• Main Authors: Shestakov, I., Tsurkov, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: universal algebraic geometry; representations of Lie algebras; automorphic equivalence; 17B10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/737
• Journal Title: Algebra and Discrete Mathematics

In this paper we research the algebraic geometry of the representations of Lie algebras over fixed field \(k\). We assume that this field is infinite and char \(\left(k\right) =0.\) We consider the representations of Lie algebras as \(2\)-sorted universal algebras. The representations of groups were...