Isomorphism between Hopf algebras for multiple zeta values
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912947035439104 |
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| author | Guo, Li Xiang, Hongyu Zhang, Bin |
| author_facet | Guo, Li Xiang, Hongyu Zhang, Bin |
| contents | The classical quasi-shuffle algebra for multiple zeta values have a well-known Hopf algebra structure. Recently, the shuffle algebra for multiple zeta values are also equipped with a Hopf algebra structure. This paper shows that these two Hopf algebras are isomorphic utilizing quasi-symmetric functions. This Hopf algebra isomorphism is compared with with the well-known isomorphism between the shuffle Hopf algebra and quasi-shuffle Hopf algebra of Hoffman, Newman and Radford. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24732 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isomorphism between Hopf algebras for multiple zeta values Guo, Li Xiang, Hongyu Zhang, Bin Number Theory Quantum Algebra The classical quasi-shuffle algebra for multiple zeta values have a well-known Hopf algebra structure. Recently, the shuffle algebra for multiple zeta values are also equipped with a Hopf algebra structure. This paper shows that these two Hopf algebras are isomorphic utilizing quasi-symmetric functions. This Hopf algebra isomorphism is compared with with the well-known isomorphism between the shuffle Hopf algebra and quasi-shuffle Hopf algebra of Hoffman, Newman and Radford. |
| title | Isomorphism between Hopf algebras for multiple zeta values |
| topic | Number Theory Quantum Algebra |
| url | https://arxiv.org/abs/2512.24732 |