# Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm

Serdica Mathematical Journal (2004)

- Volume: 30, Issue: 2-3, page 135-158
- ISSN: 1310-6600

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topGerritzen, L.. "Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm." Serdica Mathematical Journal 30.2-3 (2004): 135-158. <http://eudml.org/doc/219531>.

@article{Gerritzen2004,

abstract = {2000 Mathematics Subject Classification: 17A50, 05C05.In this note we present the formula for the coefficients of the substitution series f(g(x)) of planar tree power series g(x) into f(x).},

author = {Gerritzen, L.},

journal = {Serdica Mathematical Journal},

keywords = {Planar Rooted Tree; Planar Formal Power Series; Non-Associative Exponential Series; Substitution Endomorphisms; Automorphisms for Planar Power Series; Hopf Algebra; planar rooted trees; forests; non-associative algebras; Hopf algebras of trees; power series algebra},

language = {eng},

number = {2-3},

pages = {135-158},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm},

url = {http://eudml.org/doc/219531},

volume = {30},

year = {2004},

}

TY - JOUR

AU - Gerritzen, L.

TI - Automorphisms of the Planar Tree Power Series Algebra and the Non-Associative Logarithm

JO - Serdica Mathematical Journal

PY - 2004

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 30

IS - 2-3

SP - 135

EP - 158

AB - 2000 Mathematics Subject Classification: 17A50, 05C05.In this note we present the formula for the coefficients of the substitution series f(g(x)) of planar tree power series g(x) into f(x).

LA - eng

KW - Planar Rooted Tree; Planar Formal Power Series; Non-Associative Exponential Series; Substitution Endomorphisms; Automorphisms for Planar Power Series; Hopf Algebra; planar rooted trees; forests; non-associative algebras; Hopf algebras of trees; power series algebra

UR - http://eudml.org/doc/219531

ER -

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