Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability
We study a particular group law on formal power series in non-commuting variables induced by their interpretation as linear forms on a suitable graded connected word Hopf algebra. This group law is left-linear and is therefore associated with a pre-Lie structure on formal power series. We study thes...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2023 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2023
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211905 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Shifted Substitution in Non-Commutative Multivariate Power Series with a View Toward Free Probability. Kurusch Ebrahimi-Fard, Frédéric Patras, Nikolas Tapia and Lorenzo Zambotti. SIGMA 19 (2023), 038, 17 pages |