Maksim Karev - On the primitive subspace of Lando framed graph bialgebra

cm:11626 - Communications in Mathematics, January 15, 2024, Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin) - https://doi.org/10.46298/cm.11626
On the primitive subspace of Lando framed graph bialgebraArticle

Authors: Maksim Karev

    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.


    Volume: Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin)
    Published on: January 15, 2024
    Accepted on: January 5, 2024
    Submitted on: July 21, 2023
    Keywords: Mathematics - Combinatorics

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