Automorphic equivalence of the representations of Lie algebras

• Видавець: Lugansk National Taras Shevchenko University
• Дата: 2018
• Автори: Shestakov, I., Tsurkov, A.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: universal algebraic geometry; representations of Lie algebras; automorphic equivalence; 17B10
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/737

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...