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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Issue 2 (March 2025)   > Article

Classifying symplectic metric Jordan superalgebras

Classification des super-algèbres de Jordan métriques symplectiques


Ahmad Alghamdi
Umm Al-Qura University
Saudi Arabia

Amir Baklouti
University of Sfax
Tunisia

Warda Bensalah
University of Sfax
Tunisia



Published on 20 March 2025   DOI : 10.21494/ISTE.OP.2025.1261

Abstract

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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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