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<p>Local and 2-local derivations are significant concepts for various algebras, which measure some kind of local property of the algebras. This paper aims to study the local and 2-local derivations on the <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41980_2025_991_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(N=1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mo>=</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> BMS superalgebra. We prove that all 2-local derivations on the <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41980_2025_991_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(N=1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mo>=</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> BMS superalgebra are (global) derivations but it is not true for local derivations. There indeed exists a nontrivial local derivation on the <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41980_2025_991_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(N=1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mo>=</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> BMS superalgebra.</p>

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Local and 2-Local Derivations on the \(N=1\) BMS Superalgebra

  • 期刊论文

  • 发表日期：

    2025年8月14日

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  • Chao Lan,
  • Dong Liu,
  • Qingyan Wu

摘要

Local and 2-local derivations are significant concepts for various algebras, which measure some kind of local property of the algebras. This paper aims to study the local and 2-local derivations on the \(N=1\) N = 1 BMS superalgebra. We prove that all 2-local derivations on the \(N=1\) N = 1 BMS superalgebra are (global) derivations but it is not true for local derivations. There indeed exists a nontrivial local derivation on the \(N=1\) N = 1 BMS superalgebra.