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<p>In our previous work, we introduced three different ways to associate Lie algebras to isolated hypersurface singularities. In this paper, we analyze their relations in the case of weighted homogeneous singularities. Moreover, explicit formulas of the dimensions of three series of Lie algebras are given for fewnomial singularities. Several conjectures are proposed and verified partially.</p>

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Three types of derivation lie algebras of isolated hypersurface singularities

  • 期刊论文

  • 发表日期：

    2025年1月7日

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  • Naveed Hussain,
  • Stephen S.-T. Yau,
  • Huaiqing Zuo

摘要

In our previous work, we introduced three different ways to associate Lie algebras to isolated hypersurface singularities. In this paper, we analyze their relations in the case of weighted homogeneous singularities. Moreover, explicit formulas of the dimensions of three series of Lie algebras are given for fewnomial singularities. Several conjectures are proposed and verified partially.