6 papers
Combinatorial multiple Eisenstein series
Henrik Bachmann, Annika Burmester
We construct a family of -series with rational coefficients satisfying a variant of the extended double shuffle equations, which are a lift of a given -valued soluti…
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 generalization of formal multiple zeta values related to multiple Eisenstein series and multiple q-zeta values
Annika Burmester
We present the -invariant balanced quasi-shuffle algebra , whose elements formalize (combinatorial) multiple Eisenstein series as well as multip…
Balanced multiple q-zeta values
Annika Burmester
We introduce the balanced multiple q-zeta values. They give a new model for multiple q-zeta values, whose product formula combines the shuffle and stuffle product for multiple zeta…
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…
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…