Crossed product interpretation of the double shuffle Lie algebra attached to a finite abelian group

DOI10.4171/prims/60-3-2MaRDI QIDQ6619099

Khalef Yaddaden

Publication date: 15 October 2024

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

zbMATH Keywords

double shuffle relationscrossed product algebraharmonic coproductmultiple polylogarithm at roots of unitystabilizer group schemestabilizer Lie algebra

Mathematics Subject Classification ID

Special aspects of infinite or finite groups (20F99) Lie algebras and Lie superalgebras (17B99) Group schemes (14L15) Free nonassociative algebras (17A50) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

• Double shuffle relation for associators
• The Betti side of the double shuffle theory. I. The harmonic coproducts.
• Multiple polylogarithms, cyclotomy and modular complexes
• On multiple \(L\)-values
• Double shuffles of multiple polylogarithms at roots of unity
• The Betti side of the double shuffle theory. II: Double shuffle relations for associators
• Groupes fondamentaux motiviques de Tate mixte
• A Stabilizer Interpretation of Double Shuffle Lie Algebras
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