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math.NT2025
An extension of the linearized double shuffle Lie algebra
Annika Burmester
The linearized double shuffle Lie algebra is a well-studied Lie algebra, which reflects the depth-graded structure of multiple zeta values. We introduce a generaliz…
math.NT2025
On post-Lie structures for free Lie algebras
Annika Burmester, Ulf Kühn
We study post-Lie structures on free Lie algebras, the Grossman-Larson product on their enveloping algebras, and provide an abstract formula for its dual coproduct. This might be o…