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Detecting capable pairs of some nilpotent Lie superalgebras

Author

Listed:
  • Ibrahem Yakzan Hasan

    (Siksha ‘O’ Anusandhan (A Deemed to be University))

  • Rudra Narayan Padhan

    (Siksha ‘O’ Anusandhan (A Deemed to be University))

  • Manjula Das

    (Siksha ‘O’ Anusandhan (A Deemed to be University))

Abstract

In this article, we define the capable pairs of Lie superalgebras. We classify all capable pairs of abelian and Heisenberg Lie superalgebras. After that we discuss on pairs of Lie superalgebras with derived subalgebra of dimension one and a non-abelian ideal. Finally, we determine the structure of the Schur multiplier of pairs of Heisenberg Lie superalgebras.

Suggested Citation

  • Ibrahem Yakzan Hasan & Rudra Narayan Padhan & Manjula Das, 2024. "Detecting capable pairs of some nilpotent Lie superalgebras," Indian Journal of Pure and Applied Mathematics, Springer, vol. 55(1), pages 78-93, March.
    • Handle: RePEc:spr:indpam:v:55:y:2024:i:1:d:10.1007_s13226-022-00348-0
    DOI: 10.1007/s13226-022-00348-0
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