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Computational method for obtaining filiform Lie algebras of arbitrary dimension

 

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Opened Access Computational method for obtaining filiform Lie algebras of arbitrary dimension
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Author: Ceballos González, Manuel
Núñez Valdés, Juan
Tenorio Villalón, Ángel Francisco
Coordinator/Director: Vasek, Vladimir
Shmaliy, Yuriy S.
Trcek, Denis
Kobayashi, Nobuhiko P.
Choras, Ryszard S.
Klos, Zbigniew
Department: Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2011-09
ISBN/ISSN: 9781618040022
2223-2877
Document type: Presentation
Abstract: This paper shows a new computational method to obtain filiform Lie algebras, which is based on the relation between some known invariants of these algebras and the maximal dimension of their abelian ideals. Using this relation, the law of each of these algebras can be completely determined and characterized by means of the triple consisting of its dimension and the invariants z1 and z2. As examples of application, we have included a table showing all valid triples determining filiform Lie algebras for dimension 13.
Size: 323.5Kb
Format: PDF

URI: http://hdl.handle.net/11441/54705

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