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Free dendriform dialgebras: reformulation and application in free probability. Part I

Leroux Philippe
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Abstract

We propose a reformulation of some results known on the free dendriform dialgebra on one generator from a parenthesis point of view. This turns out to be more tractable and point out a connection to free probability by identifying noncrossing partitions with binary trees and by introducing the concept of NCP-operad.

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Leroux Philippe. 2004-08-25. Free dendriform dialgebras: reformulation and application in free probability. Part I. https://arxiv.org/abs/math/0408348

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