Detecting capable pairs of some nilpotent Lie superalgebras

Ibrahem Yakzan Hasan (), Rudra Narayan Padhan () and Manjula Das ()
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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)

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 1, 78-93

Abstract: 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.

Keywords: Heisenberg Lie superalgebra; Multiplier; Capability; Non-abelian tensor and exterior product; Primary 17B10; Secondary 17B56 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-022-00348-0

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