Geometrical equivalence and action type geometrical equivalence of group representations

• Veröffentlicht in: Algebra and Discrete Mathematics
• Datum: 2020
• Hauptverfasser: Simoes da Silva, J., Tsurkov, A.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/188570
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.