Geometrical equivalence and action type geometrical equivalence of group representations

• Published in: Algebra and Discrete Mathematics
• Date: 2020
• Main Authors: Simoes da Silva, J., Tsurkov, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188570
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Geometrical equivalence and action type geometrical equivalence of group representations / J. Simoes da Silva, A. Tsurkov // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 273–281. — Бібліогр.: 15 назв. — англ.

In this paper we construct an example of two representations (V₁,G₁) and (V₂,G₂) which are action type geometrically equivalent and groups G₁ and G₂ are geometrically equivalent, but the representations (V₁,G₁) and (V₂,G₂) are not geometrically equivalent.