4 papers · 1 filter
A stabilizer interpretation of the (extended) linearized double shuffle Lie algebra
Annika Burmester, Khalef Yaddaden
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 exten…
A categorical formulation of the Deligne-Terasoma approach to double shuffle theory
Benjamin Enriquez, Khalef Yaddaden
In this paper, we introduce the notion of a bimodule with a factorization structure (BFS) and show that such a structure gives rise to an algebra morphism. We then prove that this…
An alternative -form of the cyclotomic double shuffle Lie algebra
Hidekazu Furusho, Khalef Yaddaden
We present an alternative -form for Racinet's cyclotomic double shuffle Lie algebra, inspired by the double shuffle relations among congruent multiple zeta values studi…
On a conjecture of Zhao related to standard relations among cyclotomic multiple zeta values
Henrik Bachmann, Khalef Yaddaden
We provide a proof of a conjecture by Zhao concerning the structure of certain relations among cyclotomic multiple zeta values in weight two. We formulate this conjecture in a broa…