Hypergraph associated with Lie algebra of upper triangular matrices

Document Type : Research Paper

Authors

1 Discrete Mathematics Laboratory, Department of Mathematics Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam, India.

2 Discrete Mathematics Laboratory, Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University Kumbakonam, India.

Abstract

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.

Keywords

Journal of Algebra and Related Topics
Volume 10, Issue 2
December 2022
Pages 145-159

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