On the primitive subspace of Lando framed graph bialgebra
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929241459785728 |
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| author | Karev, Maksim |
| author_facet | Karev, Maksim |
| contents | Lando framed graph bialgebra is generated by framed graphs modulo 4-term relations. We provide an explicit set of generators of its primitive subspace and a description of the set of relations between the generators. We also define an operation of leaf addition that endows the primitive subspace of Lando algebra with a structure of a module over the ring of polynomials in one variable and construct a 4-invariant that satisfies a simple identity with respect to the vertex-multiplication. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_00468 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the primitive subspace of Lando framed graph bialgebra Karev, Maksim Combinatorics Lando framed graph bialgebra is generated by framed graphs modulo 4-term relations. We provide an explicit set of generators of its primitive subspace and a description of the set of relations between the generators. We also define an operation of leaf addition that endows the primitive subspace of Lando algebra with a structure of a module over the ring of polynomials in one variable and construct a 4-invariant that satisfies a simple identity with respect to the vertex-multiplication. |
| title | On the primitive subspace of Lando framed graph bialgebra |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2307.00468 |