On extensions of Frobenius–Kähler and Sasakian Lie algebras
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.
Authors
- O. A. Sánchez-Valenzuela (ORCID: https://orcid.org/0000-0002-5245-7825)
- M. C. Rodríguez-Vallarte (ORCID: https://orcid.org/0000-0001-6414-7157)
- G. Salgado (ORCID: https://orcid.org/0000-0002-8031-8881)
Institutions
- Autonomous University of San Luis Potosí (MX)
- Secretaría de Investigación, Innovación y Educación Superior (MX)
- Centro de Investigación Científica y de Educación Superior de Ensenada (MX)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-11-20
- DOI
- https://doi.org/10.1142/s0219498827500939
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00