Extensions of pseudo-euclidean mock-Lie superalgebras
Abstract
In this paper, we introduce mock-Lie superalgebras, give some definitions, properties, constructions, and study their representations. Moreover, we introduce pseudo-euclidean mock-Lie superalgebras which are mock-Lie superalgebras with even non-degenerate supersymmetric and invariant bilinear forms. Finally, we study the double extensions and generalized double extensions of mock-Lie superalgebras and their isometries.
Fields of Study & Subjects
Advanced Topics in Algebra
Algebraic structures and combinatorial models
Finite Group Theory Research
Publication details
- Journal / source
- Journal of Algebra and Its Applications
- Publication date
- 5 January 2026
- Language
- EN