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Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem
Репозиторій DSpace/Manakin
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Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem
Інший ID:
2010 MSC: 17C70, 17C27, 17C55.
Посилання:
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.
Підтримка:
The authors were partially supported by Universidad de Antioquia, and the first author by the proyect CODI 2014-1032.
Дата:
2018
Переглядів:
159
Завантажень:
60
Анотація:
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
