A stabilizer interpretation of the (extended) linearized double shuffle Lie algebra

Annika Burmester; Khalef Yaddaden

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arXiv · 2603.05038

A stabilizer interpretation of the (extended) linearized double shuffle Lie algebra

Annika Burmester·Khalef Yaddaden

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Abstract

The linearized double shuffle Lie algebra introduced by Brown reflects the depth-graded structure of multiple zeta values. In a previous paper, the first author introduced an extension of this Lie algebra that accommodates multiple q-zeta values and multiple Eisenstein series. Inspired by the stabilizer interpretation of the double shuffle Lie algebra given by Enriquez and Furusho, we provide in this paper a stabilizer interpretation of both Lie algebras and show that the stabilizers preserve the extension from the first linearized Lie algebra to the second one.

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Annika Burmester, Khalef Yaddaden. 2026-03-05. A stabilizer interpretation of the (extended) linearized double shuffle Lie algebra. https://arxiv.org/abs/2603.05038

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