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arXiv · 2408.11236

On extensions of Frobenius-K\"ahler and Sasakian Lie algebras

M. C. Rodríguez-Vallarte·G. Salgado·O. A. Sánchez-Valenzuela
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Abstract

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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M. C. Rodríguez-Vallarte, G. Salgado, O. A. Sánchez-Valenzuela. 2024-08-20. On extensions of Frobenius-K\"ahler and Sasakian Lie algebras. https://arxiv.org/abs/2408.11236

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