Wedderburn principal theorem for Jordan superalgebras I
ABSTRACT: We consider finite dimensional Jordan super algebras J over an algebraically closed field of characteristic 0, with solvable radical N such that N 2 = 0 and J/N is a simple Jordan superalgebra of one of the following types: Kac K10, Kaplansky K3, superform or Dt. We prove that an analogue...
- Autores:
-
Gómez González, Faber Alberto
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2018
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/30998
- Acceso en línea:
- https://hdl.handle.net/10495/30998
- Palabra clave:
- Jordan superalgebras
Wedderburn Theorem
Decomposition theorem
Semisimple Jordan superalgebras
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/2.5/co/
| Summary: | ABSTRACT: We consider finite dimensional Jordan super algebras J over an algebraically closed field of characteristic 0, with solvable radical N such that N 2 = 0 and J/N is a simple Jordan superalgebra of one of the following types: Kac K10, Kaplansky K3, superform or Dt. We prove that an analogue of the Wedderburn Principal Theorem (WPT) holds if certain restrictions on the types of irreducible subbimodules of N are imposed, where N is considered as a J/N -bimodule. Using counterexamples, it is shown that the imposed restrictions are essential. |
|---|