Geometrical equivalence and action type geometrical equivalence of group representations
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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2020 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188570 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862728743855849472 |
|---|---|
| author | Simoes da Silva, J. Tsurkov, A. |
| author_facet | Simoes da Silva, J. Tsurkov, A. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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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| first_indexed | 2025-12-07T19:10:44Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-188570 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:10:44Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Simoes da Silva, J. Tsurkov, A. 2023-03-06T14:56:04Z 2023-03-06T14:56:04Z 2020 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. 1726-3255 DOI:10.12958/adm1127 2010 MSC: 20C99, 08C10. https://nasplib.isofts.kiev.ua/handle/123456789/188570 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. The authors acknowledge the support of Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES (Coordination for the Improvement of Higher Education Personnel, Brazil).
 We are thankful to Professor E. Aladova for her important remarks, which helped a lot in writing this article. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Geometrical equivalence and action type geometrical equivalence of group representations Article published earlier |
| spellingShingle | Geometrical equivalence and action type geometrical equivalence of group representations Simoes da Silva, J. Tsurkov, A. |
| title | Geometrical equivalence and action type geometrical equivalence of group representations |
| title_full | Geometrical equivalence and action type geometrical equivalence of group representations |
| title_fullStr | Geometrical equivalence and action type geometrical equivalence of group representations |
| title_full_unstemmed | Geometrical equivalence and action type geometrical equivalence of group representations |
| title_short | Geometrical equivalence and action type geometrical equivalence of group representations |
| title_sort | geometrical equivalence and action type geometrical equivalence of group representations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188570 |
| work_keys_str_mv | AT simoesdasilvaj geometricalequivalenceandactiontypegeometricalequivalenceofgrouprepresentations AT tsurkova geometricalequivalenceandactiontypegeometricalequivalenceofgrouprepresentations |