Free dendriform algebras. Part I. A parenthesis setting

Philippe Leroux

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-16

Abstract:

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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:034684

DOI: 10.1155/IJMMS/2006/34684

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