Combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866918501513428992 |
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| author | Rubiano, Andrés Reyes, Armando |
| author_facet | Rubiano, Andrés Reyes, Armando |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03094 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings Rubiano, Andrés Reyes, Armando Combinatorics Quantum Algebra 05A05, 05A10, 05A15, 05A19, 11B73, 11B75, 13N15, 16S15, 16S32, 16S36, 16S38, 16T30 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. |
| title | Combinatorial aspects of normal ordering of 3-dimensional skew polynomial rings |
| topic | Combinatorics Quantum Algebra 05A05, 05A10, 05A15, 05A19, 11B73, 11B75, 13N15, 16S15, 16S32, 16S36, 16S38, 16T30 |
| url | https://arxiv.org/abs/2605.03094 |