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On a pre-Lie algebra defined by insertion of rooted trees

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Publication:975783
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DOI10.1007/s11005-010-0377-5zbMath1243.17001OpenAlexW2031547256WikidataQ115381890 ScholiaQ115381890MaRDI QIDQ975783

Abdellatif Saïdi

Publication date: 11 June 2010

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-010-0377-5


zbMATH Keywords

rooted treespre-Lie algebra


Mathematics Subject Classification ID

Trees (05C05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Nonassociative algebras satisfying other identities (17A30) Connections of Hopf algebras with combinatorics (16T30)


Related Items

Enumerating closed flows on forks ⋮ The Lie derivative and Noether's theorem on the aromatic bicomplex for the study of volume-preserving numerical integrators ⋮ Graded extended Lie-type algebras ⋮ THE PRE-LIE OPERAD AS A DEFORMATION OF NAP



Cites Work

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  • Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series.
  • On the Hopf algebraic structure of Lie group integrators.
  • Chronological algebras and nonstationary vector fields
  • Hopf algebras, renormalization and noncommutative geometry
  • The Hopf algebras of decorated rooted trees. I
  • Combinatorics of rooted trees and Hopf algebras
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