The Campbell-Hausdorff near-ring over \(\mathbb N\) -- a topological view

DOI10.1016/j.aim.2013.06.006zbMath1295.17005OpenAlexW2060635634MaRDI QIDQ2437473

Yvonne Raden

Publication date: 3 March 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2013.06.006

zbMATH Keywords

topological groupnear-ringCampbell-Hausdorff seriesfree associative algebrabialgebra endomorphismcompleted free Lie algebra

Mathematics Subject Classification ID

Near-rings (16Y30) Identities, free Lie (super)algebras (17B01) Lie bialgebras; Lie coalgebras (17B62) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Cites Work

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• Hypernormal form theory: foundations and algorithms
• The Campbell-Hausdorff group and a polar decomposition of graded algebra automorphisms
• A Mackey formula in the group of a Coxeter group. With an appendix by J. Tits: Two properties of Coxeter complexes
• The peak algebra of the symmetric group revisited.
• Duality between quasi-symmetric functions and the Solomon descent algebra
• Curves and formal (\(co\)) groups
• Démonstration algébrique de la formule de Hausdorff

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