7 papers
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…
On the compatibility of the Betti harmonic coproduct with cyclotomic filtrations
Benjamin Enriquez, Khalef Yaddaden
In a previous paper, the second author introduced a Betti counterpart of -cyclotomic double shuffle theory for any . The construction is based on the group algebra of…
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…
The cyclotomic double shuffle torsor in terms of Betti and de Rham coproducts
Khalef Yaddaden
To describe the double shuffle relations between multiple polylogarithm values at th roots of unity, Racinet attached to each finite cyclic group of order and each group…
Crossed product interpretation of the Double Shuffle Lie algebra attached to a finite Abelian group
Khalef Yaddaden
Racinet studied the scheme associated with the double shuffle and regularization relations between multiple polylogarithm values at roots of unity and constructed a group…