Mould Theory and the Double Shuffle Lie Algebra Structure

DOI10.1007/978-3-030-37031-2_15zbMath1444.81022arXiv1510.05535OpenAlexW3013717581MaRDI QIDQ3304305

Adriana Salerno, Leila Schneps

Publication date: 5 August 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05535

zbMATH Keywords

Lie algebramultiple zeta valuesdouble shuffledimorphyflexionsmouldRacinet's theorem

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Hopf algebras and their applications (16T05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (2)

On the derivation representation of the fundamental Lie algebra of mixed elliptic motives ⋮ ON ECALLE'S AND BROWN'S POLAR SOLUTIONS TO THE DOUBLE SHUFFLE EQUATIONS MODULO PRODUCTS

Cites Work

• Double shuffle relation for associators
• Mould calculus
• Eupolars and their bialternality grid
• Double shuffles of multiple polylogarithms at roots of unity
• Derivation and double shuffle relations for multiple zeta values
• Eléments de Mathématique. Groupes et algèbres de Lie
• Unnamed Item

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