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math.RA2017★ 1 cited
Extension of the product of a post-Lie algebra and application to the SISO feedback transformation group
Loïc Foissy
We describe the both post-and pre-Lie algebra g SISO associated to the affine SISO feedback transformation group. We show that it is a member of a family of post-Lie algebras assoc…
math.RA2017★ 12 cited
Algebraic structures associated to operads
Loïc Foissy
We study different algebraic structures associated to an operad and their relations: to any operad is attached a bialgebra,the monoid of characters of this bialgebra,…