Abstract
In this paper, we study how two important ideals of a given Lie algebra \(\mathfrak {g}\) (namely, the center \(Z(\mathfrak {g})\) and the derived Lie algebra \(\mathcal {D}(\mathfrak {g})\)) can be translated into the language of Graph Theory. In this way, we obtain some criteria and characterizations of these ideals using Graph Theory.
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Acknowledgments
This work has been partially supported by MTM2010-19336 and FEDER. Additionally, the authors want to thank the referees for their helpful and useful comments and suggestions, which have allowed us to improve the quality of this paper.
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Communicated by Ang Miin Huey.
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Ceballos, M., Núñez, J. & Tenorio, Á.F. Relations Between Combinatorial Structures and Lie Algebras: Centers and Derived Lie Algebras. Bull. Malays. Math. Sci. Soc. 38, 529–541 (2015). https://doi.org/10.1007/s40840-014-0034-8
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DOI: https://doi.org/10.1007/s40840-014-0034-8