Scindement d'associativite et algebres de Hopf

Details Scindement d'associativite et algebres de Hopf Scindement d'associativite et algebres de Hopf

2004-02-05

arxiv.org/abs/math/0402084v1

Sem.Congr. 9, Soc.Math. France, (2004), 155-172.

Mathematics

Quantum Algebra

In french

Scientific paper

We show that some associative algebras whose product splits up into the sum
of several operations and are free, in a certain sense, with respect to these
operations, admit a Hopf algebra structure. We show that the operad of
dendriform algebras play a crucial role in this context, and we give numerous
examples.

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