6 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…
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…
AGZT-Lectures on formal multiple zeta values
Annika Burmester, Niclas Confurius, Ulf Kühn
Formal multiple zeta values allow to study multiple zeta values by algebraic methods in a way that the open question about their transcendence is circumvented. In this note we show…
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 multipl…
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…