Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem
An analogue of the Wedderburn Principal Theorem (WPT) is considered for finite-dimensional Jordan superal-gebras A with solvable radical N, N² = 0, and such that A/N ≅ Jospn|2m(F), where F is a field of characteristic zero. We prove that the WPT is valid under some restrictions over the irreducible...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2018 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188371 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem / F.A. Gómez González, R. Velasquez // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 19–33. — Бібліогр.: 13 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862728008485306368 |
|---|---|
| author | Gómez González, F.A. Velasquez, R. |
| author_facet | Gómez González, F.A. Velasquez, R. |
| citation_txt | Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem / F.A. Gómez González, R. Velasquez // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 19–33. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | An analogue of the Wedderburn Principal Theorem (WPT) is considered for finite-dimensional Jordan superal-gebras A with solvable radical N, N² = 0, and such that A/N ≅ Jospn|2m(F), where F is a field of characteristic zero. We prove that the WPT is valid under some restrictions over the irreducible Jospn|2m(F)-bimodules contained in N, and show with counter-examples that these restrictions cannot be weakened. Introduction
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| first_indexed | 2025-12-07T19:06:00Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-188371 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:06:00Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Gómez González, F.A. Velasquez, R. 2023-02-26T12:14:23Z 2023-02-26T12:14:23Z 2018 Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem / F.A. Gómez González, R. Velasquez // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 1. — С. 19–33. — Бібліогр.: 13 назв. — англ. 1726-3255 2010 MSC: 17C70, 17C27, 17C55. https://nasplib.isofts.kiev.ua/handle/123456789/188371 An analogue of the Wedderburn Principal Theorem (WPT) is considered for finite-dimensional Jordan superal-gebras A with solvable radical N, N² = 0, and such that A/N ≅ Jospn|2m(F), where F is a field of characteristic zero. We prove that the WPT is valid under some restrictions over the irreducible Jospn|2m(F)-bimodules contained in N, and show with counter-examples that these restrictions cannot be weakened. Introduction The authors were partially supported by Universidad de Antioquia, and the first author by the proyect CODI 2014-1032. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem Article published earlier |
| spellingShingle | Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem Gómez González, F.A. Velasquez, R. |
| title | Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem |
| title_full | Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem |
| title_fullStr | Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem |
| title_full_unstemmed | Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem |
| title_short | Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem |
| title_sort | orthosymplectic jordan superalgebras and the wedderburn principal theorem |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188371 |
| work_keys_str_mv | AT gomezgonzalezfa orthosymplecticjordansuperalgebrasandthewedderburnprincipaltheorem AT velasquezr orthosymplecticjordansuperalgebrasandthewedderburnprincipaltheorem |