Fe b 20 05 Planar Shuffle Product , Co-Addition and the non-associative Exponential by


In this note we introduce the concept of a shuffle product ⊔⊔ for planar tree polynomials and give a formula to compute the planar shuffle product S ⊔⊔ T of two finite planar reduced rooted trees S, T. It is shown that ⊔⊔ is dual to the co-addition ∆ which leads to a formula for the coefficients of ∆(f). It is also proved that ∆(EXP) = EXPˆ⊗EXP where EXP is… (More)


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