Mahdi J. Hasan Al-Kaabi, Kurusch Ebrahimi-Fard, Dominique Manchon, “Post-Lie Magnus Expansion and BCH-Recursion”, SIGMA, 2022, том 18,023, 16 стр.

Эта публикация цитируется в 1 статье

Post-Lie Magnus Expansion and BCH-Recursion

Mahdi J. Hasan Al-Kaabi^a, Kurusch Ebrahimi-Fard^b, Dominique Manchon^c

^a Mathematics Department, College of Science, Mustansiriyah University, Palestine Street, P.O. Box 14022, Baghdad, Iraq
^b Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway
^c Laboratoire de Mathématiques Blaise Pascal, CNRS et Université Clermont-Auvergne (UMR 6620), 3 place Vasarély, CS 60026, F63178 Aubière, France

Аннотация: We identify the Baker–Campbell–Hausdorff recursion driven by a weight $\lambda=1$ Rota–Baxter operator with the Magnus expansion relative to the post-Lie structure naturally associated to the corresponding Rota–Baxter algebra. Post-Lie Magnus expansion and BCH-recursion are reviewed before the proof of the main result.

Ключевые слова: post-Lie algebra, pre-Lie algebra, Rota–Baxter algebra, Magnus expansion, BCH-formula, rooted trees.

MSC: 16T05, 16T10, 16T30, 17A30

Поступила: 26 августа 2021 г.; в окончательном варианте 10 марта 2022 г.; опубликована 23 марта 2022 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2022.023