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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/188371 |
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| Zitieren: | 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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irk-123456789-1883712023-02-27T01:27:42Z Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem Gómez González, F.A. Velasquez, R. 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 2018 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/188371 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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 |
| format |
Article |
| author |
Gómez González, F.A. Velasquez, R. |
| spellingShingle |
Gómez González, F.A. Velasquez, R. Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem Algebra and Discrete Mathematics |
| author_facet |
Gómez González, F.A. Velasquez, R. |
| author_sort |
Gómez González, F.A. |
| title |
Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem |
| title_short |
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_sort |
orthosymplectic jordan superalgebras and the wedderburn principal theorem |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188371 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT gomezgonzalezfa orthosymplecticjordansuperalgebrasandthewedderburnprincipaltheorem AT velasquezr orthosymplecticjordansuperalgebrasandthewedderburnprincipaltheorem |
| first_indexed |
2025-07-16T10:23:59Z |
| last_indexed |
2025-07-16T10:23:59Z |
| _version_ |
1837798722524676096 |