Construction of Nijenhuis operators and dendriform trialgebras
Construction of Nijenhuis operators and dendriform trialgebras
We construct Nijenhuis operators from particular bialgebras called dendriformâNijenhuis bialgebras. It turns out that such Nijenhuis operators commute with TDâoperators, a kind of BaxterâRota operators, and are therefore closely related to dendriform trialgebras. This allows the construction of associative algebras, called dendriformâNijenhuis algebras, made out of nine operations and presenting âŚ