Hopf Algebras of B-Diagrams and Boson Normal Ordering: Exploring the Dual Structures
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866915729603821568 |
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| author | Chouria, Ali Luque, Jean-Gabriel |
| author_facet | Chouria, Ali Luque, Jean-Gabriel |
| contents | We consider the Hopf algebra of B-diagrams as an algebra projecting onto the Heisenberg algebra and designed to encode the combinatorics of the bosonic normal-ordering problem. In order to understand and generalize the properties of the algebra of noncommutative symmetric polynomials viewed as a Hopf subalgebra of the Hopf algebra linearly spanned by B-diagrams, we describe and study its dual Hopf algebra. This construction also allows us to establish connections with combinatorial Hopf algebras based on colored set partitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_09357 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hopf Algebras of B-Diagrams and Boson Normal Ordering: Exploring the Dual Structures Chouria, Ali Luque, Jean-Gabriel Combinatorics Mathematical Physics We consider the Hopf algebra of B-diagrams as an algebra projecting onto the Heisenberg algebra and designed to encode the combinatorics of the bosonic normal-ordering problem. In order to understand and generalize the properties of the algebra of noncommutative symmetric polynomials viewed as a Hopf subalgebra of the Hopf algebra linearly spanned by B-diagrams, we describe and study its dual Hopf algebra. This construction also allows us to establish connections with combinatorial Hopf algebras based on colored set partitions. |
| title | Hopf Algebras of B-Diagrams and Boson Normal Ordering: Exploring the Dual Structures |
| topic | Combinatorics Mathematical Physics |
| url | https://arxiv.org/abs/2601.09357 |