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Classification of the Quasifiliform Nilpotent Lie Algebras of Dimension 9
Joint Authors
Pérez, Mercedes
Pérez, Francisco P.
Jiménez, Emilio
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-06
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
On the basis of the family of quasifiliform Lie 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 with Maple 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.
American Psychological Association (APA)
Pérez, Mercedes& Pérez, Francisco P.& Jiménez, Emilio. 2014. Classification of the Quasifiliform Nilpotent Lie Algebras of Dimension 9. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-451713
Modern Language Association (MLA)
Pérez, Mercedes…[et al.]. Classification of the Quasifiliform Nilpotent Lie Algebras of Dimension 9. Journal of Applied Mathematics No. 2014 (2014), pp.1-12.
https://search.emarefa.net/detail/BIM-451713
American Medical Association (AMA)
Pérez, Mercedes& Pérez, Francisco P.& Jiménez, Emilio. Classification of the Quasifiliform Nilpotent Lie Algebras of Dimension 9. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-12.
https://search.emarefa.net/detail/BIM-451713
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451713