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April 1, 2026Journal of Algebra and Its Applications

A New Definition of Superbiderivations for Lie Superalgebras

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Authors

ABAlfonso Di BartoloFFFrancesco Paolo Di FattaGRGianmarco La Rosa

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Overview

Proposes a new definition of superbiderivation in Lie superalgebras, suggesting novel structural insights.

Key Points

  • The aim is to define superbiderivations in Lie superalgebras, addressing shortcomings in previous definitions.
  • Explored structural and geometric perspectives on superbiderivations.
  • Introduced a new definition requiring the bracket to be a superbiderivation.
  • Compared the new definition with existing ones in the literature.
  • Studied applications in the context of complete Lie superalgebras.
  • Presented a definition that extends the concept of a biderivation to superbiderivations.
  • Demonstrated its implications for the superalgebra of superderivations of the Heisenberg Lie superalgebra.
  • Provided initial insights into deformation theory related to superbiderivations.

Cite This Study

Bartolo et al. (2026) studied this question.

synapsesocial.com/papers/69ccb5f716edfba7beb87a23https://doi.org/10.1142/s0219498827501957
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