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  1. Home > Articles & Issues >
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  3. Hopf algebras and th ...
Conference paper

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]
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Imported on
January 31, 2017
Published on
December 31, 2008
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)
Proceedings
DOI
10.46298/dmtcs.2679
License
https://about.hal.science/hal-authorisation-v1
Natural Sciences and Engineering Research Council of Canada
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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]
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
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Hopf algebra
  • free probability
  • non-crossing partition
  • symmetric function
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