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

Gerritzen, 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 -