Maksim Karev
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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)
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https://doi.org/10.46298/cm.11626
On the primitive subspace of Lando framed graph bialgebraArticle
Authors: Maksim Karev
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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.