Geometrical equivalence and action type geometrical equivalence of group representations

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2020Embargo end date: 01 Jan 2018Publisher:Luhansk Taras Shevchenko National UniversityJournal:Algebra and Discrete Mathematics, volume 30, pages 273-281 (issn: 1726-3255, eissn: 2415-721X,

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Authors: Simoes da Silva, J.; Tsurkov, A.;

doi: 10.12958/adm1127 , 10.48550/arxiv.1802.08544

arXiv: 1802.08544

Geometrical equivalence and action type geometrical equivalence of group representations

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Abstract

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.

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Keywords

20C99, 08C10, universal algebraic geometry, Representation theory of groups, FOS: Mathematics, group representations, Representation Theory (math.RT), Axiomatic model classes, Mathematics - Representation Theory

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