Title Computing Matrix Representations of Filiform Lie Algebras
Authors CEBALLOS GONZÁLEZ, MANUEL, Nunez, Juan , Tenorio, Angel F.
External publication Si
Means Lect. Notes Comput. Sci.
Scope Proceedings Paper
Nature Científica
JCR Quartile 4
SJR Quartile 2
SJR Impact 0.32200
Publication date 01/01/2010
ISI 000285028600006
Abstract In this paper, we compute minimal faithful unitriangular matrix representations of filiform Lie algebras. To do it, we use the nilpotent Lie algebra, g, formed of n x n strictly upper-triangular matrices. More concretely, we search the lowest natural number a such that the Lie algebra g contains a given filiform Lie algebra, also computing a representative of this algebra. All the computations in this paper have been done using MAPLE 9.5.
Keywords Filiform Lie Algebra; Minimal Faithful Unitriangular Matrix Representation; Algorithm
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