Bigraded Lie algebras related to multiple zeta values

DOI10.4171/PRIMS/58-4-4MaRDI QIDQ2105135

Mohamad Maassarani

Publication date: 8 December 2022

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

zbMATH Keywords

multiple zeta valuesdouble shuffle relationsdihedral Lie coalgebradouble shuffle spaceIhara bracketlinearized double shuffle Lie algebra

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Graded Lie (super)algebras (17B70) Lie bialgebras; Lie coalgebras (17B62) Multiple Dirichlet series and zeta functions and multizeta values (11M32) General and miscellaneous (16B99)

Cites Work

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• Homology of depth-graded motivic Lie algebras and koszulity
• 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
• Multizetas, perinomal numbers, arithmetical dimorphy, and ARI/GARI
• Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
• Derivation and double shuffle relations for multiple zeta values
• Depth-graded motivic multiple zeta values

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