Orthosymplectic Jordan superalgebras and the Wedderburn principal theorem

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• Main Authors: Gómez González, F.A., Velasquez, R.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188371
• 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.

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...