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JORDAN BIMODULES OVER THE SUPERALGEBRA M1|1

Part of: Lie algebras and Lie superalgebras Jordan algebras

Published online by Cambridge University Press:  14 June 2019

CONSUELO MARTÍNEZ  and
IVAN SHESTAKOV
CONSUELO MARTÍNEZ
Affiliation:
Departamento de Matemáticas, Universidad de Oviedo, C/ Calvo Sotelo, s/n, 33007 Oviedo, Spain e-mail: [email protected]
IVAN SHESTAKOV
Affiliation:
Instituto de Matemática e Estatística, Universidade de São Paulo R. do Matão, 1010 – Cidade Universitária, São Paulo 05508-090, Brazil e-mail: [email protected]
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Abstract

Let F be a field of characteristic different of 2 and let M1|1(F)(+) denote the Jordan superalgebra of 2 × 2 matrices over the field F. The aim of this paper is to classify irreducible (unital and one-sided) Jordan bimodules over the Jordan superalgebra M1|1(F)(+).

Keywords

17B60

MSC classification

Primary: 17B60: Lie (super)algebras associated with other structures (associative, Jordan, etc.)
Secondary: 17C55: Finite-dimensional structures
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 62 , Special Issue S1: Workshop on Nonassociative algebras and their applications , December 2020 , pp. S6 - S13
Copyright
Copyright © Glasgow Mathematical Journal Trust 2019

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