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

Abstract

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.

Keywords

• non-crossing partition
• symmetric function
• hopf algebra
• free probability
• [math.math-co] mathematics [math]/combinatorics [math.co]
• [info.info-dm] computer science [cs]/discrete mathematics [cs.dm]