Post-Lie algebras and factorization theorems

Autor(es)

Ebrahimi-Fard, Kurusch ; Mencattini, Igor ; Munthe-Kaas, Hans

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF GEOMETRY AND PHYSICS; v. 119, p. 19-33, SEP 2017.
• Citações Web of Science: 2

Resumo

In this note we further explore the properties of universal enveloping algebras associated to a post-Lie algebra. Emphasizing the role of the Magnus expansion, we analyze the properties of group like-elements belonging to (suitable completions of) those Hopf algebras. Of particular interest is the case of post-Lie algebras defined in terms of solutions of modified classical Yang Baxter equations. In this setting we will study factorization properties of the aforementioned group-like elements. (C) 2017 Elsevier B.V. All rights reserved. (AU)

• Processo FAPESP: 15/06858-2 - Álgebras de Hopf combinatórias na matemática pura e aplicada
• Beneficiário: Igor Mencattini
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional