Free pre-Lie family algebras
نویسندگان
چکیده
In this paper, we first define the pre-Lie family algebra associated to a dendriform in case of commutative semigroup. Then construct via typed decorated rooted trees, and prove freeness algebra. We also operad terms labeled obtain that algebras is isomorphic which generalizes result Chapoton Livernet. end, Zinbiel pre-Poisson generalize results Aguiar.
منابع مشابه
Free pre-Lie algebras are free as Lie algebras
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ژورنال
عنوان ژورنال: Annales de l’Institut Henri Poincaré D
سال: 2023
ISSN: ['2308-5827', '2308-5835']
DOI: https://doi.org/10.4171/aihpd/162