Gr\"{o}bner-Shirshov Bases and Normal Forms for The Infinite Coxeter Groups of Types $\widetilde{B}_{n}$ and $\widetilde{D}_n$
Year: 2024
Type: article
Abstract: In this paper, we will investigate the infinite Coxeter groups $\widetilde{B}_n$ and $\widetilde{D}_n$. Their Gr\"{o}bner-Shirshov bases and classifications of normal forms are achieved by leveraging results from the infinite Coxeter groups of types $\widetilde{C}_n$. Additionally, a new algorithm is presented for obtaining normal forms of elements within these groups.
Source: Journal of Universal Mathematics
DOI: 10.33773/jum.1562793
Author: Uğur Ustaoğlu
Institution: Bolu Abant İzzet Baysal University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404544270