Areas of areas generate the shuffle algebra

We consider the anti-symmetrization of the half-shuffle on words, which we call the 'area' operator, since it corresponds to taking the signed area of elements of the iterated-integral signature. The tensor algebra is a so-called Tortkara algebra under this operator. We show that the itera...

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Bibliographic Details
Main Authors: Diehl, J, Lyons, T, Preiß, R, Reizenstein, J
Format: Internet publication
Language:English
Published: 2020