On the derivation representation of the fundamental Lie algebra of mixed elliptic motives

DOI10.1007/s40316-015-0040-8zbMath1396.11107arXiv1510.05549OpenAlexW2963156807WikidataQ115373003 ScholiaQ115373003MaRDI QIDQ2398247

Samuel Baumard, Leila Schneps

Publication date: 15 August 2017

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05549

zbMATH Keywords

Lie algebrasmultiple zeta valuesmouldselliptic motives

Mathematics Subject Classification ID

Identities, free Lie (super)algebras (17B01) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (7)

Motivic multiple zeta values and the block filtration ⋮ UNIVERSAL MIXED ELLIPTIC MOTIVES ⋮ Modular graph forms from equivariant iterated Eisenstein integrals ⋮ Elliptic double shuffle, Grothendieck-Teichmüller and mould theory ⋮ The Baker-Campbell-Hausdorff formula via mould calculus ⋮ Overview on Elliptic Multiple Zeta Values ⋮ Modular forms of real weights and generalised Dedekind symbols

Cites Work

• Mixed Tate motives over \(\mathbb{Z}\)
• Multiple polylogarithms, cyclotomy and modular complexes
• The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\).
• Double shuffles of multiple polylogarithms at roots of unity
• Double shuffle and Kashiwara-Vergne Lie algebras
• Elliptic associators
• Analogues elliptiques des nombres multiz\'etas
• Mould Theory and the Double Shuffle Lie Algebra Structure
• UNIVERSAL MIXED ELLIPTIC MOTIVES
• Derivation and double shuffle relations for multiple zeta values
• Depth-graded motivic multiple zeta values
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