Combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings
Combinatorics
2026-05-15 v2 Quantum Algebra
Abstract
In this paper, we discuss combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings defined and classified by Bell and Smith \cite{BellSmith1990}. With some help of the Mathematical software \texttt{SageMath}, we are able to reduce the length of computation of PBW forms and normal orderings appearing in commutation rules of these algebras.
Cite
@article{arxiv.2605.03094,
title = {Combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings},
author = {Andrés Rubiano and Armando Reyes},
journal= {arXiv preprint arXiv:2605.03094},
year = {2026}
}
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61 pages