Tuesday 27 June 2017, 16:00-17:00 in HG03.085
Florian Schätz (University of Luxembourg)
Computing the Eulerian idempotent
The Eulerian idempotent is a canonical map from the free algebra on generators x_1,...,x_n to the space of Lie words on x_1,..,x_n. Besides its importance in Lie theory, it also plays a central role in the theory of linear ODEs, due to its relation to the Magnus expansion. I will report on joint work with Ruggero Bandiera (Sapienza - University of Rome), in which we establish new formulas for the Eulerian idempotent. Our results rely on the notion of, and computations within, pre-Lie algebras.