Article
Classification of the Quasifiliform Nilpotent Lie Algebras of Dimension 9
Author/s | Pérez, Mercedes
Pérez Martín, Francisco de Paula Jiménez, Emilio |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2014 |
Deposit Date | 2017-04-05 |
Published in |
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Abstract | On the basis of the family of quasifiliformLie algebra laws of dimension 9 of 16 parameters and 17 constraints, this paper is devoted
to identify the invariants that completely classify the algebras over the complex numbers ... On the basis of the family of quasifiliformLie algebra laws of dimension 9 of 16 parameters and 17 constraints, this paper is devoted to identify the invariants that completely classify the algebras over the complex numbers except for isomorphism. It is proved that the nullification of certain parameters or of parameter expressions divides the family into subfamilies such that any couple of them is nonisomorphic and any quasifiliform Lie algebra of dimension 9 is isomorphic to one of them. The iterative and exhaustive computation withMaple provides the classification, which divides the original family into 263 subfamilies, composed of 157 simple algebras, 77 families depending on 1 parameter, 24 families depending on 2 parameters, and 5 families depending on 3 parameters. |
Citation | Pérez, M., Pérez Martín, F.d.P. y Jiménez, E. (2014). Classification of the Quasifiliform Nilpotent Lie Algebras of Dimension 9. Journal of Applied Mathematics, 2014 (ID 173072) |
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