BRIDGES: Brazil-France interplays in Gauge Theory, extremal structures and stability
Valuation theory of group rings and homology of soluble groups
| Full text | |
| Author(s): |
Ebrahimi-Fard, Kurusch
;
Mencattini, Igor
;
Munthe-Kaas, Hans
Total Authors: 3
|
| Document type: | Journal article |
| Source: | JOURNAL OF GEOMETRY AND PHYSICS; v. 119, p. 19-33, SEP 2017. |
| Web of Science Citations: | 2 |
| Abstract | |
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) | |
| FAPESP's process: | 15/06858-2 - Combinatorial Hopf algebras in pure and applied mathematics |
| Grantee: | Igor Mencattini |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |