Hyperlogarithms: Functions on Free Monoids
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866912648596029440 |
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| author | Minh, Vincel Hoang Ngoc |
| author_facet | Minh, Vincel Hoang Ngoc |
| contents | To factorize and to decompose the graphs of representative functions on the free monoid X * (generated by the alphabet X ) with values in the ring A containing Q, we examine various products of series (as concatenation, shuffle and its $ϕ$ -deformations) and co-products, which are such that their associated non graded bialgebras are isomorphic, for A is a field K, to the Sweedler's dual of the graded noncommutative co-commutative K-bialgebra of polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_13298 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hyperlogarithms: Functions on Free Monoids Minh, Vincel Hoang Ngoc Combinatorics To factorize and to decompose the graphs of representative functions on the free monoid X * (generated by the alphabet X ) with values in the ring A containing Q, we examine various products of series (as concatenation, shuffle and its $ϕ$ -deformations) and co-products, which are such that their associated non graded bialgebras are isomorphic, for A is a field K, to the Sweedler's dual of the graded noncommutative co-commutative K-bialgebra of polynomials. |
| title | Hyperlogarithms: Functions on Free Monoids |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2510.13298 |