Commutation Relations, Normal Ordering, and Stirling Numbers Page 1 Commutation
Relations, Normal Ordering, and Stirling Numbers Toufik Mansour • Matthias Schork Mansour • …

In this paper, we study the structure and properties of those n-dimensional Lie algebras
associated with either summed structures of complete graphs or some families of digraphs …

This work shows how to associate the Lie algebra hn, of upper triangular matrices, with a
specific combinatorial structure of dimension 2, for n∈ N. The properties of this structure are …

In this paper, we study the families of n-dimensional Lie algebras associated with a
combinatorial structure made up of n vertices and with its edges forming a complete simple …

For an associated combinatorial structure with Lie algebra $\mathbf {g} _n $ of upper
triangular matrices, an allowable, forbidden, and the graphs that are not associated with …

The main goal of this paper is to show an application of Graph Theory to classifying Lie
algebras over finite fields. It is rooted in the representation of each Lie algebra by a certain …

This paper deals with several operations on graphs and combinatorial structures linking
them with their associated Lie algebras. More concretely, our main goal is to obtain some …

Evolution of 5G in Industry 4.0 is set to revolutionize future Intelligent Transportation Systems
(ITS). Integration of VANETs and 5G results in safety services, resilient network …

In this paper, we study how two important ideals of a given Lie algebra gg (namely, the
center Z (g) Z (g) and the derived Lie algebra D (g) D (g)) can be translated into the …

UNIVERSITI PUTRA MALAYSIA COMBINATORIAL STRUCTURE ASSOCIATED WITH LOW-DIMENSIONAL
FILIFORM LEIBNIZ ALGEBRAS AYU AMELIATUL SHAHIL Page 1 UNIVERSITI PUTRA …