Geometrical equivalence and action type geometrical equivalence of group representations

• Date: 2021
• Main Authors: Simoes da Silva, J., Tsurkov, A.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2021
• Subjects: universal algebraic geometry; group representations; 20C99; 08C10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1127
• Journal Title: Algebra and Discrete Mathematics

In this paper we construct an example of two representations \((V_{1},G_{1})\) and \((V_{2},G_{2})\) which are action type geometrically equivalent and groups \(G_{1}\) and \(G_{2}\) are geometrically equivalent, but the representations \((V_{1},G_{1})\) and \((V_{2},G_{2})\) are not geometrically e...