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

Published 4 May 2026 in math.CO and math.QA | (2605.03094v1)

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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