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Mathématiques   > Accueil   > Avancées en Mathématiques Pures et Appliquées   > Numéro 2 (Mars 2025)   > Article

Classification des super-algèbres de Jordan métriques symplectiques

Classifying symplectic metric Jordan superalgebras


Ahmad Alghamdi
Umm Al-Qura University
Saudi Arabia

Amir Baklouti
University of Sfax
Tunisia

Warda Bensalah
University of Sfax
Tunisia



Publié le 20 mars 2025   DOI : 10.21494/ISTE.OP.2025.1261

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This paper complements the description of finite-dimensional Jordan symplectic metric superalgebras on algebraically closed fields of characteristic zero. We discuss the graduation of the metric and the symplectic structures and use a new type of generalized double extension by two-dimensional Jordan superalgebras.

This paper complements the description of finite-dimensional Jordan symplectic metric superalgebras on algebraically closed fields of characteristic zero. We discuss the graduation of the metric and the symplectic structures and use a new type of generalized double extension by two-dimensional Jordan superalgebras.

Jordan superalgebras classification of algebras symplectic algebras double extension

Jordan superalgebras classification of algebras symplectic algebras double extension

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