Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract

Mitja Mastnak (1) , Alexandru Nica (2)

1 Department of Mathematics and Computing Science [Halifax]
2 Department of Pure Mathematics [Waterloo]

This document is an extended abstract of the paper `Hopf algebras and the logarithm of the S-transform in free probability' in which we introduce a Hopf algebraic approach to the study of the operation $\boxtimes$ (free multiplicative convolution) from free probability.

Mots clés: Hopf algebra; free probability; non-crossing partition; symmetric function

Domaines: Combinatoire [math.CO]; Mathématique discrète [cs.DM]

Mitja Mastnak, Alexandru Nica. Hopf algebras and the logarithm of the S-transform in free probability ― Extended abstract. 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), 2009, Hagenberg, Austria. pp.623-634, ⟨10.46298/dmtcs.2679⟩. ⟨hal-01185371⟩