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math.QA2026
The kernel of formal polylogarithms
Anton Alekseev, Megan Howarth, Florian Naef +2
Polylogarithmic functions (polylogs) in variables can be viewed as elements of , the dual of the universal enveloping algebra of the Lie algebra $\mathfr…
math.QA2025
Polylogarithmic characterizations of the reduced coaction Lie algebra and the double shuffle Lie algebra, and their relation to the Kashiwara--Vergne Lie algebra
Megan Howarth, Muze Ren
The reduced coaction Lie algebra is defined by a skew-symmetric condition together with an algebraic equation involving the reduced coaction, a non-cyclic refinem…