The free non-associative algebra provides a simple combinatorial context to extend some constructions from the associative setting. In this talk, based on joint work with J. Mostovoy and I. P. Shestakov, I will briefly discuss three of them related to non-associative Lie theory: the embedding of the free loop as non-associative formal power series, a non-associative extension of the Baker-Campbell-Hausdorff formula and a non-associative version of Solomon’s descent algebra.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
