论 Frobenius-Kähler 和 Sasakian 列阵的扩展

arXiv - MATH - Rings and Algebras Pub Date : 2024-08-20 DOI:arxiv-2408.11236

M. C. ROdríguez-Vallarte, G. Salgado, O. A. Sánchez-Valenzuela

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引用次数: 0

摘要

研究了具有萨萨基或弗罗贝纽斯-阿勒几何结构的李代数的扩展。给出了使萨萨基李代数的双重扩展再次成为萨萨基的条件。还给出了在通过加入源代数的派生而分别扩展弗罗贝纽斯-克勒或萨萨基李代数时获得萨萨基或弗罗贝纽斯-克勒李代数的条件。低维的例子也包括在内。

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On extensions of Frobenius-Kähler and Sasakian Lie algebras

Extensions of Lie algebras equipped with Sasakian or Frobenius-K\"ahler geometrical structures are studied. Conditions are given so that a double extension of a Sasakian Lie algebra be Sasakian again. Conditions are also given for obtaining either a Sasakian or a Frobernius-K\"ahler Lie algebra upon respectively extending a Frobernius-K\"ahler or a Sasakian Lie algebra by adjoining a derivation of the source algebra. Low-dimensional examples are included.

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arXiv - MATH - Rings and Algebras

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