Results 181 to 190 of about 3,875,166 (215)

The Hopf Algebra of Fliess Operators and Its Dual Pre-Lie Algebra [PDF]

open access: yesCommunications in Algebra, 2015
31 pages, third versionInternational audienceWe study the Hopf algebra H of Fliess operators coming from Control Theory in the one-dimensional case. We prove that it admits a graded, finte-dimensional, connected gradation.
Loïc Foissy
exaly   +6 more sources

The Universal Pre-Lie–Rinehart Algebras of Aromatic Trees [PDF]

open access: yesSpringer Proceedings in Mathematics and Statistics, 2021
20 pages, improvements and clarifications added, 1 ...
Dominique Manchon
exaly   +5 more sources

On the Lie Enveloping Algebra of a Pre-Lie Algebra [PDF]

open access: yesJournal of K-Theory, 2008
AbstractWe construct an associative product on the symmetric module S(L) of any pre-Lie algebra L. It turns S(L) into a Hopf algebra which is isomorphic to the enveloping algebra of LLie. Then we prove that in the case of rooted trees our construction gives the Grossman-Larson Hopf algebra, which is known to be the dual of the Connes-Kreimer Hopf ...
Oudom, Jean-Michel, Guin, Daniel
exaly   +6 more sources
Some of the next articles are maybe not open access.

Quasi-pre-Lie bialgebras and twisting of pre-Lie algebras

Journal of Algebra and Its Applications, 2023
Given a (quasi-)twilled pre-Lie algebra, we first construct a differential graded Lie algebra ([Formula: see text]-algebra). Then we study the twisting theory of (quasi-)twilled pre-Lie algebras and show that the result of the twisting by a linear map on a (quasi-)twilled pre-Lie algebra is also a (quasi-)twilled pre-Lie algebra if and only if the ...
Wang, Qi, Liu, Jiefeng
openaire   +1 more source

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