Classifying symplectic metric 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.

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Publication Details

Journal
Advances in Pure and Applied Mathematics
Published
2025-03-01
DOI
https://doi.org/10.21494/iste.op.2025.1261
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00

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article

Classifying symplectic metric Jordan superalgebras

Amir Baklouti, Warda Bensalah, Ahmad M. Alghamdi
Advances in Pure and Applied Mathematics
Advanced Topics in Algebra
article

Classifying symplectic metric Jordan superalgebras

Amir Baklouti, Warda Bensalah, Ahmad M. Alghamdi
article en

Abstract

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.

Advances in Pure and Applied MathematicsVol. 16(2)
Umm Al-Qura University
Reduced inequalities
Openalex Percentile: Top 91%
Advanced Topics in Algebra
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