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On extensions of Frobenius–Kähler and Sasakian Lie algebras

Year: 2025

Type: article

Abstract: Extensions of Lie algebras equipped with Sasakian or Frobenius–Kähler geometric 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 Frobenius–Kähler Lie algebra upon respectively extending a Frobenius–Kähler or a Sasakian Lie algebra by adjoining a derivation of the source algebra. Low-dimensional examples are included.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498827500939

Authors: M. C. Rodríguez-Vallarte, G. Salgado, O. A. Sánchez-Valenzuela

Institutions: Autonomous University of San Luis Potosí, Mathematics Research Center, Centro de Investigación Científica y de Educación Superior de Ensenada

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Universidad Autónoma de San Luis Potosí

OpenAlex ID: W4416394588

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