1 citations · 2 across the 7 of their papers we have counts for
8 papers
Moulds, Bimoulds, and some Lie algebras
Annika Burmester, Ulf Kühn, Leila Schneps
The Lie algebra of multiple zeta values is realized as the space of alternal moulds whose swap is alte…
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…
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…