The Baker-Campbell-Hausdorff product in the free pre-Lie algebra
Speaker: Ruggero Bandiera, Sapienza Università di Roma
Abstract: We describe a simple algorithm to compute the expansion of the BCH product in the Lyndon basis of the free Lie algebra. After works by Murua and Casas-Murua, this problem is reduced to the one of computing the expansion of the BCH product of the generators in a free pre-Lie algebra of rooted trees. Our approach is based on a pre-Lie analog of the usual formula BCH(X,Y) = log(e^X e^Y) and on a combinatorial study of pre-Lie logarithms. Based on joint works with Florian Schaetz and Luca Simi.
Room Reservation Information
Room Number: 106 McAllister
Time: 2:30pm - 3:30pm