Hypergraph associated with Lie algebra of upper triangular matrices

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 \mathbf{g}_n of any three vertices are determined. This work also introduces a neoteric association of hypergraph with Lie algebra of upper triangular matrix \mathcal{G}_n for an element of Lie algebra \mathbf{g}_n. The properties of this structure are analyzed, characterized and have been presented as an algorithm for finite order.

کلیدواژه ها:

Lie Algebra ، well oriented ، hypergraph ، upper triangular matrix