In this paper, we describe a new method to classify complex filiform Lie algebras based on the concept of isomorphism between Lie algebras. This method, which has the advantage of being applied to any dimension, gives the families of algebras in each dimension in an explicit way. In order to apply, only the corresponding structure the- orem of...
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October 1, 2024 (v1)PublicationUploaded on: October 3, 2024
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October 21, 2024 (v1)Publication
Chartrand and Harary characterized finite outer-planar graphs, and Wagner studied uncountable graphs admitting a planar embedding. We continue this research for those outer-S graphs in surfaces S by studying un countable graphs admitting S-embeddings with all their vertices in the same face (namely, outer-S embeddings).
Uploaded on: October 22, 2024 -
October 8, 2024 (v1)Publication
In this paper we give the explicit classification of complex filiform Lie algebras of dimension 11. To do this, we use a method previously obtained by us in an earlier paper, which is based on the concept of isomorphism between Lie algebras. At present, this explicit classification is not known, although Gomez, Jim enez and Khakimdjanov...
Uploaded on: October 9, 2024 -
October 17, 2024 (v1)Publication
In this paper we study graph embeddings in pseudosurfaces formed by three spheres sharing at most two points each pair, and in such a way that all vertices in the graph are in the same face. Our results and examples show that the behaviour of outer embeddings in these pseudosurfaces is rather different from embeddings on the...
Uploaded on: October 18, 2024 -
July 31, 2024 (v1)Publication
At present, several countries on the Asian continent are still very closed off to the idea of allowing not only the work of women, but also even the fact that they can study university degrees and, after finishing them, go on to practice their professions. In addition, if we go back to the beginning of the 20th century, this situation was even...
Uploaded on: August 1, 2024 -
February 5, 2024 (v1)Publication
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Uploaded on: February 7, 2024