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arXiv · 2605.03094

Combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings

Andrés Rubiano·Armando Reyes
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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.

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Andrés Rubiano, Armando Reyes. 2026-05-14. Combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings. https://arxiv.org/abs/2605.03094

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