Free dendriform algebras. Part I. A parenthesis setting

Free dendriform algebras. Part I. A parenthesis setting

We propose both a reformulation of some known results on the free dendriform algebra on one generator from a parenthesis setting instead of using permutations and some developments as well. Moreover, by introducing the concept of NCP-operad, we show how to use the free dendriform algebra on one gene...

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Main Author: Philippe Leroux
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/34684
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spelling doaj-2d86448dee42486d897fa6ed94a725052020-11-24T20:53:44ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/3468434684Free dendriform algebras. Part I. A parenthesis settingPhilippe Leroux0Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Jahnstraße 15a, Greifswald 17487, GermanyWe propose both a reformulation of some known results on the free dendriform algebra on one generator from a parenthesis setting instead of using permutations and some developments as well. Moreover, by introducing the concept of NCP-operad, we show how to use the free dendriform algebra on one generator to reformulate some results obtained by Speicher in free probability.http://dx.doi.org/10.1155/IJMMS/2006/34684
collection DOAJ
language English
format Article
sources DOAJ
author Philippe Leroux
spellingShingle Philippe Leroux
Free dendriform algebras. Part I. A parenthesis setting
International Journal of Mathematics and Mathematical Sciences
author_facet Philippe Leroux
author_sort Philippe Leroux
title Free dendriform algebras. Part I. A parenthesis setting
title_short Free dendriform algebras. Part I. A parenthesis setting
title_full Free dendriform algebras. Part I. A parenthesis setting
title_fullStr Free dendriform algebras. Part I. A parenthesis setting
title_full_unstemmed Free dendriform algebras. Part I. A parenthesis setting
title_sort free dendriform algebras. part i. a parenthesis setting
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2006-01-01
description We propose both a reformulation of some known results on the free dendriform algebra on one generator from a parenthesis setting instead of using permutations and some developments as well. Moreover, by introducing the concept of NCP-operad, we show how to use the free dendriform algebra on one generator to reformulate some results obtained by Speicher in free probability.
url http://dx.doi.org/10.1155/IJMMS/2006/34684
work_keys_str_mv AT philippeleroux freedendriformalgebraspartiaparenthesissetting
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