2013/08/03 by R. Friedrich, John McKay, Friedrich, Roland M +1 · 1 citation
Mathematics · #14L15 #46L54 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #Random Matrices and Applications #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1308.0733
openalex publication_date 2013/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this note we report the solution of the problem of defining the S-transform in Free Probability Theory in arbitrary dimensions. This is achieved by generalising the theory and embedding it into an algebraic-geometric framework. Finally, we classify the groups arising as distributions of s-tuples of non-commutative random variables.