Hopf co-addition for free magma algebras and the non-associative Hausdorff series.

DOI10.1016/S0021-8693(03)00157-1zbMath1046.17001OpenAlexW2041624841MaRDI QIDQ1398179

Lothar Gerritzen, Ralf Holtkamp

Publication date: 29 July 2003

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-8693(03)00157-1

zbMATH Keywords

primitive elementsTaylor expansionHausdorff seriesHopf co-addition

Mathematics Subject Classification ID

Free nonassociative algebras (17A50)

Related Items

Planar rooted trees and non-associative exponential series ⋮ On Hopf algebra structures over free operads. ⋮ Algebras, hyperalgebras, nonassociative bialgebras and loops ⋮ Formal multiplications, bialgebras of distributions and nonassociative Lie theory ⋮ A non-associative Baker-Campbell-Hausdorff formula ⋮ Nilpotent Sabinin algebras ⋮ Tree polynomials and non-associative Gröbner bases ⋮ Constants of partial derivations and primitive operations ⋮ Hopf algebras in non-associative Lie theory ⋮ Constants of formal derivatives of non-associative algebras, Taylor expansions and applications ⋮ Extended magmas and their applications ⋮ Constants of Weitzenböck derivations and invariants of unipotent transformations acting on relatively free algebras.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Taylor expansion of noncommutative polynomials
• Hopf algebra of the planar binary trees
• Hausdorff series, Eulerian idempotents and Hopf algebras
• Lois de groupes et analyseurs
• The cofree nonassociative coalgebra
• The Kantor-Koecher-Tits Construction for Jordan Coalgebras
• Algèbre des descentes et cogroupes dans les algèbres sur une opérade
• Nonassociative coalgebras
• Taylor expansion of noncommutative power series with an application to the Hausdorff series
• Renormalization of QED with planar binary trees
• A pseudo-analyzer approach to formal group laws not of operad type