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<p>This paper is devoted to the study of group gradings on simple modular Lie superalgebras of Cartan type <i>W</i> and <i>S</i> over an algebraically closed field of characteristic <i>p</i> &gt; 3. We show that every grading on these simple modular Lie superalgebras by an abelian group without <i>p</i>-torsion is isomorphic to the standard grading.</p>

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Group Gradings on Simple Modular Lie Superalgebras of Cartan Type W and S

  • 期刊论文

  • 发表日期：

    2026年6月5日

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  • Yu Yang,
  • Liming Tang,
  • Liangyun Chen

摘要

This paper is devoted to the study of group gradings on simple modular Lie superalgebras of Cartan type W and S over an algebraically closed field of characteristic p > 3. We show that every grading on these simple modular Lie superalgebras by an abelian group without p-torsion is isomorphic to the standard grading.