Minimal Faithful Representations for Trivial Central Extensions of Heisenberg Lie Superalgebras

Key Points

• The aim is to determine the minimal dimensions of nice faithful and nilrepresentations for specific Lie superalgebras.
• Analyzed the structure of Heisenberg Lie superalgebras under trivial central extensions.
• Investigated representations in the context of algebraically closed fields of characteristic 0.
• Identified specific dimensions that are minimal for nice faithful representations.
• Described findings that impact the understanding of representations in Lie superalgebra theory.